Shijie Zhao | Applied Mathematics | Best Researcher Award

Assoc. Prof. Dr. Shijie Zhao | Applied Mathematics | Best Researcher Award

Associate Professor at Liaoning Technical University, China

Assoc. Prof. Dr. Shijie Zhao is a distinguished researcher and academic at the Institute of Intelligence Science and Optimization, Liaoning Technical University, China. With a Ph.D. in Optimization and Management Decisions, his expertise lies in metaheuristic optimization, multi-objective optimization, and underwater navigation and positioning. He has made significant contributions through innovative algorithm designs and novel mathematical models, particularly in high-dimensional feature selection and robust navigation techniques. Dr. Zhao has published 9 SCI-indexed journal articles and participated in over 10 nationally and provincially funded research projects. He serves as a reviewer for leading journals including those by Elsevier, Springer, and IEEE, and holds memberships in 13 professional bodies. With strong programming skills, rigorous analytical thinking, and a commitment to scientific innovation, Dr. Zhao has also earned four research awards. His work bridges theoretical mathematics and practical applications, making him a valuable contributor to the global research community in intelligent systems and optimization.

Professional Profile 

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Education

Assoc. Prof. Dr. Shijie Zhao has a robust academic foundation anchored at Liaoning Technical University, China. He earned his B.S. degree in Science of Information & Computation in 2012, followed by a successive postgraduate and doctoral program in Mathematics and Applied Mathematics from 2012 to 2014. He went on to complete his Ph.D. in Optimization and Management Decisions in 2018. His educational trajectory highlights a deep commitment to the field of mathematical optimization and intelligent systems. Dr. Zhao’s academic excellence is also reflected in his ability to integrate theoretical knowledge with practical problem-solving, laying a strong foundation for his future research. His interdisciplinary approach blends pure mathematics with applied optimization techniques, making him uniquely positioned to contribute to emerging challenges in computational intelligence, machine learning, and navigation systems. His comprehensive training has equipped him with skills in advanced mathematical modeling, algorithm design, and statistical analysis—all crucial for his research trajectory.

Professional Experience

Dr. Shijie Zhao began his professional journey as a faculty member at Liaoning Technical University, where he is now serving as an Associate Professor and Director of the Institute of Intelligence Science and Optimization. Since 2012, he has progressed through a series of academic roles, including a postdoctoral tenure beginning in 2020. He has successfully led and participated in a range of scientific research projects sponsored by institutions such as the China Postdoctoral Science Foundation and the Department of Science & Technology of Liaoning Province. In addition to his teaching responsibilities, he has been actively involved in administrative, academic, and research leadership roles. Dr. Zhao has served as a reviewer for numerous high-impact international journals and conferences and has editorial roles in reputed scientific publications. His contributions to collaborative and interdisciplinary projects underscore his ability to bridge research and real-world applications, enhancing his standing as a key contributor in intelligent systems research.

Research Interest

Assoc. Prof. Dr. Shijie Zhao’s research interests lie at the intersection of intelligent optimization, computational mathematics, and advanced data analytics. He specializes in the development and enhancement of metaheuristic and multi-objective optimization algorithms, addressing both theoretical and application-driven challenges. His work has pioneered novel strategies for high-dimensional feature selection and optimization in machine learning contexts. Another key area of his focus is underwater navigation and positioning, where he has introduced innovative models for enhancing gravity navigation accuracy. With a strong foundation in mathematics, Dr. Zhao combines theoretical rigor with practical applicability, ensuring that his research contributes both to academic knowledge and technological development. His recent work explores how optimization strategies can be integrated into real-time systems, with implications in robotics, autonomous navigation, and engineering design. By addressing complex computational problems, Dr. Zhao’s research plays a vital role in driving forward the capabilities of intelligent systems and adaptive algorithms.

Award and Honor

Dr. Shijie Zhao has earned multiple accolades in recognition of his impactful contributions to scientific research and innovation. He has received four prestigious research awards for his work in intelligent systems, mathematical optimization, and applied computational modeling. His leadership in various national and provincial research initiatives has further cemented his reputation as a top-tier researcher in his domain. In addition to these honors, he has held editorial and reviewer positions for over ten internationally recognized journals, including publications by IEEE, Springer, and Elsevier—an acknowledgment of his expertise and academic integrity. Dr. Zhao is also an active member of 13 professional bodies, reflecting his global engagement and scholarly influence. His participation in high-impact collaborative projects and his growing citation index underscore the recognition and respect he commands in the research community. These honors validate his innovative spirit and unwavering dedication to advancing knowledge in mathematics and intelligent computing.

Conclusion

In conclusion, Assoc. Prof. Dr. Shijie Zhao exemplifies excellence in mathematical research, optimization theory, and intelligent system applications. His educational background, combined with over a decade of professional experience, positions him as a thought leader in his field. Through pioneering contributions to metaheuristic algorithms, multi-objective optimization, and underwater navigation, he bridges the gap between theoretical frameworks and practical technologies. His commitment to research integrity, academic service, and innovation has earned him widespread recognition and professional accolades. As an educator, leader, and scientist, Dr. Zhao’s multifaceted contributions reflect a deep dedication to advancing scientific knowledge and solving complex global challenges. His future endeavors are poised to have even greater impacts on the fields of artificial intelligence, data-driven decision-making, and intelligent navigation. With a strong publication record, a solid foundation in mathematics, and an expanding research network, Dr. Zhao continues to be a prominent and influential figure in the global academic landscape.

Publications Top Notes

  • Title: ID2TM: A Novel Iterative Double-Cross Domain-Center Transfer-Matching Method for Underwater Gravity-Aided Navigation
    Authors: Shijie Zhao, Zhiyuan Dou, Huizhong Zhu, Wei Zheng, Yifan Shen
    Year: 2025
    Source: IEEE Internet of Things Journal

  • Title: OS-BiTP: Objective sorting-informed bidomain-information transfer prediction for dynamic multiobjective optimization
    Authors: Shijie Zhao, Tianran Zhang, Lei Zhang, Jinling Song
    Year: 2025
    Source: Swarm and Evolutionary Computation

  • Title: Mirage search optimization: Application to path planning and engineering design problems
    Authors: Jiahao He, Shijie Zhao, Jiayi Ding, Yiming Wang
    Year: 2025
    Source: Advances in Engineering Software

  • Title: Twin-population Multiple Knowledge-guided Transfer Prediction Framework for Evolutionary Dynamic Multi-Objective Optimization
    Authors: Shijie Zhao, Tianran Zhang, Miao Chen, Lei Zhang
    Year: 2025
    Source: Applied Soft Computing

  • Title: VC-TpMO: V-dominance and staged dynamic collaboration mechanism based on two-population for multi- and many-objective optimization algorithm
    Authors: Shijie Zhao, Shilin Ma, Tianran Zhang, Miao Chen
    Year: 2025
    Source: Expert Systems with Applications

  • Title: A Novel Cross-Line Adaptive Domain Matching Algorithm for Underwater Gravity Aided Navigation
    Authors: Shijie Zhao, Wei Zheng, Zhaowei Li, Huizhong Zhu, Aigong Xu
    Year: 2024
    Source: IEEE Geoscience and Remote Sensing Letters

  • Title: Triangulation topology aggregation optimizer: A novel mathematics-based meta-heuristic algorithm for continuous optimization and engineering applications
    Authors: Shijie Zhao, Tianran Zhang, Liang Cai, Ronghua Yang
    Year: 2024
    Source: Expert Systems with Applications

  • Title: Improving Matching Efficiency and Out-of-Domain Positioning Reliability of Underwater Gravity Matching Navigation Based on a Novel Domain-Center Adaptive-Transfer Matching Method
    Authors: Shijie Zhao, Wei Zheng, Zhaowei Li, Huizhong Zhu, Aigong Xu
    Year: 2023
    Source: IEEE Transactions on Instrumentation and Measurement

  • Title: A dynamic support ratio of selected feature-based information for feature selection
    Authors: Shijie Zhao, Mengchen Wang, Shilin Ma, Qianqian Cui
    Year: 2023
    Source: Engineering Applications of Artificial Intelligence

  • Title: Sea-horse optimizer: a novel nature-inspired meta-heuristic for global optimization problems
    Authors: Shijie Zhao, Tianran Zhang, Shilin Ma, Mengchen Wang
    Year: 2023
    Source: Applied Intelligence

  • Title: Improving the Out-of-Domain Matching Reliability and Positioning Accuracy of Underwater Gravity Matching Navigation Based on a Novel Cyclic Boundary Semisquare-Domain Researching Method
    Authors: Shijie Zhao, Wei Zheng, Zhaowei Li, Huizhong Zhu, Aigong Xu
    Year: 2023
    Source: IEEE Sensors Journal

  • Title: A feature selection method via relevant-redundant weight
    Authors: Shijie Zhao, Mengchen Wang, Shilin Ma, Qianqian Cui
    Year: 2022
    Source: Expert Systems with Applications

  • Title: Dandelion Optimizer: A nature-inspired metaheuristic algorithm for engineering applications
    Authors: Shijie Zhao, Tianran Zhang, Shilin Ma, Miao Chen
    Year: 2022
    Source: Engineering Applications of Artificial Intelligence

  • Title: Improving Matching Efficiency and Out-of-domain Reliability of Underwater Gravity Matching Navigation Based on a Novel Soft-margin Local Semicircular-domain Re-searching Model
    Authors: Shijie Zhao, Wei Zheng, Zhaowei Li, Huizhong Zhu, Aigong Xu
    Year: 2022
    Source: Remote Sensing

  • Title: Improving Matching Accuracy of Underwater Gravity Matching Navigation Based on Iterative Optimal Annulus Point Method with a Novel Grid Topology
    Authors: Shijie Zhao, Wei Zheng, Zhaowei Li, Aigong Xu, Huizhong Zhu
    Year: 2021
    Source: Remote Sensing

  • Title: A Novel Quantum Entanglement‐Inspired Meta‐heuristic Framework for Solving Multimodal Optimization Problems
    Authors: Shijie Zhao
    Year: 2021
    Source: Chinese Journal of Electronics

  • Title: A Novel Modified Tree‐Seed Algorithm for High‐Dimensional Optimization Problems
    Authors: Shijie Zhao
    Year: 2020
    Source: Chinese Journal of Electronics

 

Sabah Kausar | Applied Mathematics | Young Scientist Award

Dr. Sabah Kausar | Applied Mathematics | Young Scientist Award

University of Gujrat, Pakistan

Dr. Sabah Kausar is a dedicated physicist and researcher specializing in nanomaterials, photocatalysis, and environmental sustainability. With an MPhil in Physics from the University of Gujrat, her research focuses on synthesizing and characterizing advanced nanocomposites for applications in water purification, antimicrobial treatments, and food preservation. She has expertise in XRD, SEM, FTIR, PL, UV-Vis spectroscopy, and EDX, demonstrating a strong technical background. Her publications on Ag-doped BiVO₄ and BiVO₄/ZnO nanocomposites highlight significant advancements in photocatalytic degradation and extended shelf life of fruits. Passionate about interdisciplinary research, Dr. Kausar’s work bridges nanotechnology, environmental science, and material physics. She aspires to expand her contributions through international collaborations, high-impact publications, and practical industrial applications. With a keen focus on sustainability and innovation, she is a promising young scientist making impactful contributions to applied physics and nanotechnology.

Professional Profile 

Education

Dr. Sabah Kausar holds an MPhil in Physics from the University of Gujrat, where she conducted pioneering research on nanomaterials and their photocatalytic and antimicrobial properties. Her thesis focused on the synthesis and characterization of BiVO₄-based nanocomposites for enhancing the shelf life of fruits and environmental remediation. Prior to her MPhil, she earned a BS (Honors) in Physics, where she developed a strong foundation in experimental, numerical, and conceptual physics. Her academic journey has been marked by excellence in material physics, spectroscopy, and nanotechnology applications. Additionally, she is currently pursuing a Bachelor of Education (BEd), reinforcing her ability to contribute to academia. With a solid educational background, she has developed expertise in advanced characterization techniques such as XRD, SEM, FTIR, PL, and UV-Vis spectroscopy, which are essential for analyzing the structural, optical, and morphological properties of nanomaterials.

Professional Experience

Dr. Sabah Kausar is an emerging scientist with expertise in photocatalytic nanomaterials, environmental physics, and material characterization. During her MPhil research, she synthesized and tested Ag-doped BiVO₄ and BiVO₄/ZnO nanocomposites to improve photocatalytic activity and antimicrobial performance. Her research has practical implications in water purification, environmental remediation, and food preservation. She has collaborated with interdisciplinary teams to analyze nanoparticle efficiency using XRD, SEM, FTIR, and UV-Vis spectroscopy. She has also contributed to scientific literature through high-impact publications focusing on nanotechnology-based solutions for sustainability. As a physicist, she excels in team collaboration, research execution, and analytical problem-solving. Beyond research, her pursuit of a BEd degree equips her with academic and teaching skills, enhancing her ability to mentor and educate future scientists. With a passion for advancing nanomaterials for environmental and biomedical applications, she is poised to make significant contributions to applied physics and sustainable technology.

Research Interest

Dr. Sabah Kausar’s research interests lie in nanotechnology, photocatalysis, environmental sustainability, and antimicrobial nanomaterials. She focuses on synthesizing and characterizing functional nanocomposites for applications in water purification, energy harvesting, and food preservation. Her expertise extends to advanced material characterization techniques such as X-ray diffraction (XRD), scanning electron microscopy (SEM), photoluminescence spectroscopy (PL), and UV-Vis analysis, which she employs to explore optical, structural, and chemical properties of materials. She is particularly interested in the development of eco-friendly nanomaterials to combat water pollution and food spoilage. Her work on TiO₂/BiVO₄ nanocomposites for dye and antibiotic degradation has demonstrated significant potential for environmental applications. Additionally, she is keen on interdisciplinary research collaborations to bridge the gap between material science, environmental physics, and biomedicine. With a strong foundation in experimental physics and nanotechnology, she aspires to contribute to cutting-edge advancements in sustainable science and clean energy.

Awards and Honors

Dr. Sabah Kausar has earned recognition for her innovative contributions to nanotechnology and environmental sustainability. Her MPhil research on BiVO₄-based nanomaterials has been widely acknowledged for its practical implications in photocatalysis, antimicrobial applications, and food preservation. She has presented her work at national and international awards, showcasing her expertise in material characterization and sustainable nanotechnology. Additionally, her high-impact publications in peer-reviewed journals reflect her strong research capabilities and commitment to scientific advancement. Her ability to bridge physics, chemistry, and environmental science has positioned her as a promising researcher. As she continues to develop innovative nanomaterials for real-world applications, she remains committed to academic excellence and collaborative research projects. With her growing contributions to scientific knowledge and sustainability-focused solutions, she is a strong candidate for Young Scientist Awards and similar recognitions in the fields of nanotechnology, applied physics, and environmental research.

Conclusion

Dr. Sabah Kausar is a rising physicist and nanotechnology researcher committed to solving environmental and sustainability challenges through innovative material science. With a strong academic background, hands-on research experience, and a passion for applied physics, she has contributed to the development of photocatalytic and antimicrobial nanomaterials. Her work has significant implications for clean energy, water purification, and food preservation, demonstrating the power of interdisciplinary scientific advancements. As a young scientist, she continues to explore new frontiers in nanotechnology, with a focus on sustainable applications. Her ability to integrate material characterization, experimental physics, and environmental research makes her a promising scientific leader. With continued collaborations, high-impact research, and academic contributions, she is well-positioned to make lasting contributions in physics, nanotechnology, and sustainability science.

Publications Top Noted

 

Muhammad Marwan | Applied Mathematics | Best Researcher Award

Assoc. Prof. Dr. Muhammad Marwan | Applied Mathematics | Best Researcher Award

Associate professor at Linyi university, China

Dr. Marwan Muhammad is a distinguished researcher in applied mathematics, specializing in bifurcation theory, chaos, fractals, mobile chaotic robots, control theory, synchronization, and secure communication. With an H-index of 11, he has published extensively in high-impact journals such as Fractals, Nonlinear Dynamics, and IEEE-IoT. Currently an Associate Professor at Linyi University, China, he has over a decade of teaching and research experience, including a postdoctoral fellowship at Zhejiang Normal University (ZJNU). His work integrates mathematical theory with practical applications in cryptography, robotics, and UAV dynamics. Dr. Muhammad has successfully supervised multiple Master’s students and collaborated on funded research projects. His global academic exposure, particularly in China and Pakistan, enhances his research perspective. While his contributions are significant, further international collaborations, industry engagement, and competitive research grants would solidify his standing as a leading expert in computational and applied mathematics.

Professional Profile

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Education

Dr. Marwan Muhammad holds a Ph.D. in Applied Mathematics from the Institute of Space Technology, Pakistan, where he specialized in nonlinear dynamics and stability analysis. His doctoral research focused on applying nonlinear tools to chaotic systems. He earned an M.S. in Mathematics from COMSATS Institute of Information Technology, Pakistan, with a thesis on Fejér-Hadamard inequalities for convex functions. His academic journey began with a B.S. in Mathematics from Islamia College University, Peshawar, where he was awarded a Gold Medal for his outstanding performance. His early education includes an HSSC and SSC from the Peshawar Board, securing top grades. Throughout his academic career, Dr. Muhammad demonstrated a strong foundation in theoretical and applied mathematics, equipping him with the expertise needed to excel in research and teaching. His education has played a pivotal role in shaping his research trajectory, particularly in bifurcation theory, chaos, fractals, and control systems.

Professional Experience

Dr. Marwan Muhammad has over a decade of experience in academia and research. He is currently an Associate Professor at Linyi University, China, where he teaches and supervises research in applied mathematics. Previously, he completed a postdoctoral fellowship at Zhejiang Normal University (ZJNU), China, focusing on advanced topics in nonlinear dynamics. His professional journey includes serving as a Lecturer at Islamabad Model Postgraduate College, Riphah International University, and the Higher Education Department of Peshawar. His teaching portfolio covers a broad range of mathematical disciplines, including computational mathematics, dynamical systems, and mathematical modeling. Additionally, he has worked on a research project funded by the Higher Education Commission (HEC) of Pakistan, leading to several high-impact publications. His international exposure, particularly in China and Pakistan, has enriched his academic perspective, allowing him to integrate diverse mathematical techniques into his research and contribute significantly to the global scientific community.

Research Interest

Dr. Marwan Muhammad’s research focuses on nonlinear dynamics, bifurcation theory, chaos, fractals, control theory, synchronization, and secure communication. His work in mobile chaotic robots and multi-scroll attractors has applications in cryptography, robotics, and artificial intelligence. He is particularly interested in the mathematical modeling of complex systems, including UAV dynamics, plasma systems, and satellite chaotic systems. His contributions extend to fractional calculus, where he has analyzed tumor-immune interactions and porous medium equations. His research also explores numerical methods for solving chaotic systems, emphasizing computational efficiency and accuracy. Dr. Muhammad’s interdisciplinary approach integrates mathematics, physics, and engineering, leading to innovative solutions for real-world problems. His recent publications in journals like Fractals and Nonlinear Dynamics demonstrate his ability to bridge theoretical insights with practical applications, positioning him as a key contributor to the fields of computational and applied mathematics.

Awards and Honors

Dr. Marwan Muhammad has been recognized for his academic excellence and research contributions. He was awarded a Gold Medal for securing the highest distinction in his undergraduate studies at Islamia College University, Peshawar. His research has been published in prestigious journals, highlighting his impact in the field of applied mathematics. His contributions to nonlinear dynamics and chaotic systems have earned him invitations to collaborate on international research projects. Additionally, his supervision of Master’s students and successful research collaborations reflect his commitment to academic mentorship. His work has received recognition from funding agencies such as the Higher Education Commission (HEC) of Pakistan, under which he successfully led research projects. While his accolades are notable, continued participation in international awards, securing competitive research grants, and expanding collaborations with leading global institutions would further elevate his reputation as a distinguished researcher in computational and applied mathematics.

Conclusion

Dr. Marwan Muhammad is an accomplished mathematician whose research in nonlinear dynamics, chaos, and fractals has significantly contributed to applied mathematics. With a strong educational foundation, international research experience, and extensive teaching background, he has established himself as a key figure in computational mathematics. His work has practical applications in cryptography, robotics, and control systems, making it relevant to both academia and industry. While his publications and collaborations are impressive, expanding his research network, securing additional funding, and engaging in interdisciplinary projects could further enhance his impact. His dedication to mentoring students and advancing mathematical knowledge underscores his potential for continued success. With sustained efforts, Dr. Muhammad is poised to become a leading authority in his field, driving innovation and discovery in mathematical sciences.

Publications Top Noted

  • Coexisting attractor in a gyrostat chaotic system via basin of attraction and synchronization of two nonidentical mechanical systems
    Authors: M. Marwan, V. Dos Santos, M.Z. Abidin, A. Xiong
    Year: 2022
    Citations: 11
    Source: Mathematics, 10(11), 1914

  • Retardational effect and Hopf bifurcations in a new attitude system of quad-rotor unmanned aerial vehicle
    Authors: M. Fiaz, M. Aqeel, M. Marwan, M. Sabir
    Year: 2021
    Citations: 11
    Source: International Journal of Bifurcation and Chaos, 31(09), 2150127

  • Control and numerical analysis for cancer chaotic system
    Authors: J. Iqbal, S. Ahmad, M. Marwan, M. Shaukat
    Year: 2020
    Citations: 11
    Source: Archive of Applied Mechanics, 90, 2597-2608

  • Image cryptography communication using FPAA-based multi-scroll chaotic system
    Authors: K. Karawanich, J. Chimnoy, F. Khateb, M. Marwan, P. Prommee
    Year: 2024
    Citations: 8
    Source: Nonlinear Dynamics, 112(6), 4951-4976

  • Hopf bifurcation analysis for liquid-filled gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
    Authors: M. Sabir, S. Ahmad, M. Marwan
    Year: 2021
    Citations: 8
    Source: Open Physics, 19(1), 539-550

  • Investigation of fractional-ordered tumor-immune interaction model via fractional-order derivative
    Authors: G. Ali, M. Marwan, U.U. Rahman, M. Hleili
    Year: 2024
    Citations: 7
    Source: Fractals, 32(06), 1-10

  • Generalized Full Order Observer Subject to Incremental Quadratic Constraint (IQC) for a Class of Fractional Order Chaotic Systems
    Authors: M. Marwan, M.Z. Abidin, H. Kalsoom, M. Han
    Year: 2022
    Citations: 7
    Source: Fractal and Fractional, 6(4), 189

  • Generation of multi-scrolls in coronavirus disease 2019 (COVID-19) chaotic system and its impact on the zero-COVID policy
    Authors: M. Marwan, M. Han, R. Khan
    Year: 2023
    Citations: 6
    Source: Scientific Reports, 13, 13954

  • Novel approaches for solving fuzzy fractional partial differential equations
    Authors: M. Osman, Y. Xia, M. Marwan, O.A. Omer
    Year: 2022
    Citations: 6
    Source: Fractal and Fractional, 6(11), 656

  • Montgomery identity and Ostrowski-type inequalities for generalized quantum calculus through convexity and their applications
    Authors: H. Kalsoom, M. Vivas-Cortez, M.Z. Abidin, M. Marwan, Z.A. Khan
    Year: 2022
    Citations: 6
    Source: Symmetry, 14(7), 1449

  • Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs—application to chaos synchronization
    Authors: L. Moysis, M. Tripathi, M.K. Gupta, M. Marwan, C. Volos
    Year: 2022
    Citations: 6
    Source: Archives of Control Sciences, 32

  • Mixed obstacle avoidance in mobile chaotic robots with directional keypads and its non-identical generalized synchronization
    Authors: M. Marwan, F. Li, S. Ahmad, N. Wang
    Year: 2025
    Citations: 5
    Source: Nonlinear Dynamics, 113(3), 2377-2390

  • Chaotic behavior of Lorenz-based chemical system under the influence of fractals
    Authors: M. Marwan, A. Xiong, M. Han, R. Khan
    Year: 2024
    Citations: 4
    Source: Match Communications in Mathematical and Computer Chemistry, 91(2), 307-336

  • Control analysis of virotherapy chaotic system
    Authors: J. Iqbal, S. Ahmad, M. Marwan, A. Rafiq
    Year: 2022
    Citations: 4
    Source: Journal of Biological Dynamics, 16(1), 585-595

  • Hidden covers (wings) in the fractals of chaotic systems using advanced Julia function
    Authors: M. Marwan, M. Han, M. Osman
    Year: 2023
    Citations: 3
    Source: Fractals, 31(09), 2350125

  • Generalized external synchronization of networks based on clustered pandemic systems—The approach of COVID-19 towards influenza
    Authors: M. Marwan, M. Han, R. Khan
    Year: 2023
    Citations: 3
    Source: PLOS ONE, 18(10), e0288796

  • Existence of Solution and Self‐Exciting Attractor in the Fractional‐Order Gyrostat Dynamical System
    Authors: M. Marwan, G. Ali, R. Khan
    Year: 2022
    Citations: 3
    Source: Complexity, 2022(1), 3505634

  • On the analytical approach of codimension-three degenerate Bogdanov-Takens (BT) bifurcation in satellite dynamical system
    Authors: M. Marwan, M.Z. Abidin
    Year: 2023
    Citations: 2
    Source: Journal of Nonlinear Modeling and Analysis

  • On the global well-posedness of rotating magnetohydrodynamics equations with fractional dissipation
    Authors: M.Z. Abidin, M. Marwan, H. Kalsoom, O.A. Omer
    Year: 2022
    Citations: 2
    Source: Fractal and Fractional, 6(6), 340

  • Semi-analytical analysis of a fractional-order pandemic dynamical model using non-local operator
    Authors: M. Marwan, G. Ali, F. Li, S.A.O. Abdallah, T. Saidani
    Year: 2025
    Source: Fractals

 

liang cao | Interdisciplinary Mathematics | Best Researcher Award

Dr. liang cao | Interdisciplinary Mathematics | Best Researcher Award

lecturer at Hunan Institute of Engineering, China 

Dr. Liang Cao, a faculty member at the Hunan Institute of Engineering, specializes in reliability analysis, wind energy technology, and advanced manufacturing. With a strong academic foundation from Xiangtan University, he has led funded research projects, including one supported by the Natural Science Foundation of Hunan Province. His contributions to structural reliability analysis include developing machine learning-based surrogate models for evaluating low failure probabilities, advancing computational efficiency in engineering. He has published in high-impact journals such as Smart Materials and Structures and Probabilistic Engineering Mechanics and holds multiple patents in mechanical engineering. A member of the Society of Mechanical Engineering, Dr. Cao’s research significantly impacts reliability-based design optimization, particularly in wind turbine gearboxes and robotic mechanisms. While his academic influence is growing, enhancing citation impact, industry collaborations, and editorial leadership could further strengthen his profile. His work continues to shape advancements in probabilistic mechanics and reliability engineering.

Professional Profile 

Scopus Profile
ORCID Profile

Education 

Dr. Liang Cao obtained his academic training from Xiangtan University, where he specialized in mechanical engineering. His education provided a strong foundation in reliability analysis, wind energy technology, and advanced manufacturing. During his academic journey, he gained expertise in probabilistic mechanics, structural safety, and optimization techniques, which later became the focus of his research. His studies emphasized the integration of computational modeling and experimental methods, equipping him with the skills necessary for advancing engineering reliability. Through coursework and research projects, he developed a deep understanding of mechanical system optimization, particularly in developing surrogate models for evaluating failure probabilities. His education laid the groundwork for his career in academia, where he continues to apply theoretical and computational approaches to improve structural and mechanical reliability. With a commitment to academic excellence, Dr. Cao remains engaged in continuous learning and professional development to further enhance his contributions to the field.

Professional Experience 

Dr. Liang Cao serves as a faculty member at the Hunan Institute of Engineering, where he contributes to teaching and research in mechanical engineering. His expertise in reliability analysis and design optimization has enabled him to guide students and researchers in developing innovative solutions for mechanical system reliability. Over the years, he has successfully led projects funded by the Natural Science Foundation of Hunan Province, further solidifying his reputation as an expert in the field. His work integrates computational modeling, machine learning, and structural safety to improve the performance of mechanical systems, particularly in wind turbine gearboxes and robotic mechanisms. Beyond research, he is actively involved in mentoring students and collaborating with peers to advance mechanical engineering methodologies. While he has made significant strides in academia, expanding his industry collaborations and assuming editorial or leadership roles would further strengthen his professional influence and contributions to the field.

Research Interest

Dr. Liang Cao’s research focuses on reliability analysis, probabilistic mechanics, and structural optimization in mechanical engineering. His work integrates machine learning techniques with reliability-based design optimization to improve the efficiency and accuracy of failure predictions. A key aspect of his research is the development of surrogate models, such as Radial Basis Function Neural Networks (RBFNN), for evaluating low failure probabilities with enhanced computational efficiency. His studies have direct applications in wind turbine gearboxes, robotic mechanisms, and piezoelectric dispensing systems, contributing to safer and more robust mechanical designs. Additionally, he explores multi-source uncertainty modeling to enhance structural reliability under variable conditions. His research is published in high-impact journals such as Smart Materials and Structures and Probabilistic Engineering Mechanics. Moving forward, expanding interdisciplinary collaborations and securing larger research grants could amplify the impact of his work on global mechanical engineering challenges.

Awards and Honors 

Dr. Liang Cao has received recognition for his contributions to mechanical engineering, particularly in reliability analysis and probabilistic mechanics. His research achievements have been supported by the Natural Science Foundation of Hunan Province, which funded his work on sliding bearing lubrication reliability in fan gearboxes. Additionally, his multiple patents reflect his innovative contributions to structural safety and optimization in mechanical systems. While he has gained credibility through journal publications in esteemed outlets such as Probabilistic Engineering Mechanics and Smart Materials and Structures, broader recognition through industry awards and professional society honors could further elevate his profile. Active participation in international research collaborations and engineering awards may increase his chances of securing prestigious research awards. By continuing to contribute to mechanical engineering advancements, Dr. Cao has the potential to earn more accolades, further solidifying his standing as a leading researcher in reliability engineering and mechanical system optimization.

Conclusion 

Dr. Liang Cao is an accomplished researcher in mechanical engineering, specializing in reliability analysis, probabilistic mechanics, and structural optimization. With a strong educational foundation from Xiangtan University and professional experience at the Hunan Institute of Engineering, he has made significant contributions to enhancing mechanical system safety and efficiency. His research, funded by the Natural Science Foundation of Hunan Province, has led to innovative developments in surrogate modeling and uncertainty analysis. He has published extensively in high-impact journals and holds multiple patents, reflecting his commitment to advancing engineering methodologies. While his academic impact is commendable, expanding his industry collaborations, citation influence, and leadership roles in research communities could further enhance his professional standing. With a growing reputation in reliability engineering, Dr. Cao is poised to make even greater contributions to mechanical system design and optimization, positioning himself as a leading figure in applied engineering research.

Publications Top Noted

  • Title: Optimizing Dispensing Performance of Needle-Type Piezoelectric Jet Dispensers: A Novel Drive Waveform Approach
    Authors: Liang Cao, S.G. Gong, Y.R. Tao, S.Y. Duan
    Year: 2024
    Source: Smart Materials and Structures

  • Title: Theoretical Study and Physical Tests on the Influence of Process Parameters of Needle on Dispensing Quality
    Authors: Liang Cao, S.G. Gong, S.Y. Duan, Y.R. Tao
    Year: 2023
    Source: Optik

  • Title: A RBFNN Based Active Learning Surrogate Model for Evaluating Low Failure Probability in Reliability Analysis
    Authors: Liang Cao, S.G. Gong, Y.R. Tao, S.Y. Duan
    Year: 2023
    Source: Probabilistic Engineering Mechanics

  • Title: Optimisation Design for Wind Turbine Mainshaft Bearing Based on Lubrication Reliability
    Authors: Liang Cao
    Year: 2020
    Source: International Journal of Reliability and Safety

  • Title: A Novel Evidence-Based Fuzzy Reliability Analysis Method for Structures
    Authors: Liang Cao
    Year: 2017
    Source: Structural and Multidisciplinary Optimization

  • Title: Safety Analysis of Structures with Probability and Evidence Theory
    Authors: Liang Cao
    Year: 2016
    Source: International Journal of Steel Structures

 

Navneet Kumar Lamba | Applied Mathematics | Best Researcher Award | 2055

Assist. Prof. Dr. Navneet Kumar Lamba | Applied Mathematics | Best Researcher Award

 Assistant Professor at Shri Lemdeo Patil Mahavidyalaya, Mandhal India

Dr. Navneet Kumar Lamba is an accomplished mathematician and researcher, currently serving as an Assistant Professor in the Department of Mathematics at Shri Lemdeo Patil Mahavidyalaya, Mandhal. With over 13 years of teaching and research experience, he specializes in Operations Research, Mathematical Modeling, Optimization Problems, and Solid Mechanics. He has published 60 research papers in peer-reviewed, Scopus, and Web of Science journals, authored 9 books, and contributed 3 book chapters. His research on infectious disease modeling, particularly COVID-19, has been widely recognized. He has received prestigious accolades, including the Research Excellence Award-2021 (UK) and multiple Best Paper Awards. Dr. Lamba has successfully supervised Ph.D. scholars and plays a key role in various academic committees. An active member of multiple professional bodies, he has also organized national awards. His commitment to research and academia makes him a distinguished scholar in the field of Computational Mathematics.

Professional Profile 

Scopus Profile
ORCID Profile 

Education

Dr. Navneet Kumar Lamba holds a Ph.D. in Mathematics from R.T.M. Nagpur University, awarded in 2013, demonstrating his expertise in advanced mathematical research. He earned his Master of Science (M.Sc.) in Mathematics from the same university in 2007, securing the 3rd Merit position at the university level with an impressive 67.7%. His Bachelor of Science (B.Sc.) degree, with a focus on Physics, Chemistry, and Mathematics, was completed at D.A.V. College, Jalandhar, under Guru Nanak Dev University, Amritsar, in 2005 with 63.5% (First Division). His early education includes Higher Secondary (XII) from St. Thomas School, Jalandhar (CBSE, New Delhi), where he scored 60.5%, and Secondary Education (X) from Bright Buds School, Jaipur (Rajasthan Board) with 59.33%. His strong academic foundation, coupled with continuous research and teaching excellence, has contributed significantly to his standing as a distinguished mathematician and educator.

Professional Experience

Dr. Navneet Kumar Lamba is a distinguished academician and researcher with over 13 years and 2 months of experience in teaching and research. Currently serving as an Assistant Professor and Head of the Department of Mathematics at Shri Lemdeo Patil Mahavidyalaya, Mandhal, he has made significant contributions to the fields of Operations Research, Mathematical Modeling, and Solid Mechanics. His professional journey includes teaching positions at Dronacharya College of Engineering, Gurugram, Priyadarshini Institute of Engineering & Technology, Nagpur, and Nagarjuna Institute of Engineering, Technology, and Management, Nagpur. He has guided Ph.D. scholars, authored 9 books and 60+ research papers, and actively participates in academic leadership roles such as IQAC Cell, Research & Development Cell, and Teacher Guardian Scheme. His work has earned him multiple accolades, including the Research Excellence Award-2021 and Best Paper Awards (2021, 2023), solidifying his reputation as a leading researcher in applied mathematics.

Research Interest

Dr. Navneet Kumar Lamba’s research interests span a broad spectrum of fundamental and applied mathematics, focusing primarily on Operations Research, Mathematical Modeling, Optimization Problems, and Solid Mechanics. His work in linear programming and algorithmic methodologies has contributed to developing efficient problem-solving techniques. He has also made significant strides in boundary value problems, applied modeling of infectious diseases, and thermal stress analysis in solid mechanics, particularly in studying memory-dependent thermoelastic responses. His recent research delves into the fractional-order heat conduction models, hygrothermal effects in materials, and thermosensitive structures. Additionally, Dr. Lamba has explored the mathematical modeling of COVID-19 transmission dynamics, providing valuable insights into epidemiological trends. With over 60 research publications in Scopus, Web of Science, and UGC Care-listed journals, his work continues to impact both theoretical and applied aspects of mathematics. His research aims to bridge gaps between mathematical theory and real-world applications, fostering innovation and problem-solving in diverse domains.

Award and Honor

Dr. Navneet Kumar Lamba has been recognized for his outstanding contributions to research and academia with several prestigious awards and honors. He received the Research Excellence Award-2021 from the National Health Service England (UK) and Chintamani Mahavidyalaya, acknowledging his significant research in mathematics and its applications. His exceptional scholarly work has also earned him Best Paper Awards in 2021 and 2023 at the International Conference on Advancement in Science, Technology, and Management. With a distinguished academic career spanning over 13 years, Dr. Lamba has authored 60 research papers in reputed peer-reviewed journals, 9 books, and 3 book chapters, further cementing his position as a leading researcher in mathematics. Additionally, he has guided Ph.D. scholars, actively participated in national and international awards, and contributed to institutional development through key academic committees. His dedication to mathematical research, teaching, and mentorship has earned him widespread recognition in the academic community.

Conclusion

Dr. Navneet Kumar Lamba is a distinguished academician and researcher with over 13 years of experience in mathematics, specializing in operations research, mathematical modeling, and optimization problems. His impressive portfolio includes 60 peer-reviewed research papers, 9 authored books, and multiple accolades such as the Research Excellence Award-2021 and Best Paper Awards in 2021 and 2023. As an Assistant Professor and Head of Department, he has contributed significantly to academia through research supervision, professional memberships, and leadership roles in various academic committees. His work on infectious disease modeling, particularly COVID-19, highlights his commitment to applied research. While his contributions are exemplary, further enhancements in citation impact, global collaborations, and research grants would strengthen his research influence. Overall, Dr. Lamba’s dedication to research, teaching, and academic leadership makes him a strong contender for the Best Researcher Award, recognizing his invaluable contributions to mathematics and scientific advancements.

Publications Top Noted

  • A Sustainable Inventory Model with Advertisement Effort for Imperfect Quality Items under Learning in Fuzzy Monsoon Demand
    • Authors: Alamri, O.A.; Lamba, N.K.; Jayaswal, M.K.; Mittal, M.
    • Year: 2024
  • Memory Dependent Response in an Infinitely Long Thermoelastic Solid Circular Cylinder
    • Authors: Lamba, N.K.; Deshmukh, K.C.
    • Year: 2024
  • Quasi-static Thermal Response of a Circular Plate due to the Influence of Memory-dependent Derivatives
    • Authors: Lamba, N.K.
    • Year: 2024
  • Thermal Characteristics of a Multilayered Annular Disk with Thermosensitive Features using a Fractional-order Heat Conduction Model
    • Authors: Lamba, N.K.; Manthena, V.R.; Bhad, P.P.; Srinivas, V.B.; Abouelregal, A.E.
    • Year: 2024
  • Thermal Stresses Associated with a Thermosensitive Multilayered Disc Analysed Due to Point Heating
    • Authors: Srinivas, V.B.; Manthena, V.R.; Warbhe, S.D.; Kedar, G.D.; Lamba, N.K.
    • Year: 2024
  • Memory-based Thermoelastic Modelling of an Annular Disc under Heating and Cooling Processes
    • Authors: Lamba, N.K.; Varhadpande, I.; Murty, V.R.K.
    • Year: 2024
  • Impact of Memory-dependent Response of a Thermoelastic Thick Solid Cylinder
    • Authors: Lamba, N.K.
    • Year: 2023
  • Hygrothermoelastic Response of a Finite Hollow Circular Cylinder
    • Authors: Lamba, N.K.; Deshmukh, K.C.
    • Year: 2022
  • Memory Impact of Hygrothermal Effect in a Hollow Cylinder by Theory of Uncoupled-Coupled Heat and Moisture
    • Authors: Verma, J.; Lamba, N.K.; Deshmukh, K.C.
    • Year: 2022
  • Thermosensitive Response of a Functionally Graded Cylinder with Fractional Order Derivative
    • Authors: Lamba, N.K.
    • Year: 2022
  • A Comparative Study of COVID-19 Pandemic in Rajasthan, India
    • Authors: Jayaswal, M.K.; Lamba, N.K.; Yadav, R.; Mittal, M.
    • Year: 2021
  • Impact of COVID-19: A Mathematical Model
    • Authors: Warbhe, S.D.; Lamba, N.K.; Deshmukh, K.C.
    • Year: 2021
  • Mathematical Modelling of COVID-19 in Pregnant Women and Newly Borns
    • Authors: Lamba, N.K.; Warbhe, S.D.; Deshmukh, K.C.
    • Year: 2021
  • Hygrothermoelastic Response of a Finite Solid Circular Cylinder
    • Authors: Lamba, N.K.; Deshmukh, K.C.
    • Year: 2020
  • Thermal Behavior of a Finite Hollow Cylinder in Context of Fractional Thermoelasticity with Convection Boundary Conditions
    • Authors: Kumar, N.; Kamdi, D.B.
    • Year: 2020

Livija Cveticanin | Applied Mathematics | Best Researcher Award

Prof. Dr. Livija Cveticanin | Applied Mathematics | Best Researcher Award

Professor at Faculty of Technical Sciences, University of Novi Sad, Serbia

Prof. Livija Cveticanin is a distinguished academic and researcher, currently holding positions at the University of Novi Sad, Obuda University, and the Polytechnic University in Temisoara. She has made significant contributions to the fields of rotor dynamics and nonlinear vibrations, publishing over 200 journal papers, six monographs with renowned publishers, and co-authoring six textbooks. Prof. Cveticanin is known for developing the “Cveticanin Method,” a groundbreaking procedure for solving nonlinear differential equations in vibration analysis. Her research has garnered international recognition, placing her among the top 2% of most cited scientists globally according to Stanford University’s rankings. She has been an invited speaker at numerous international awards and is involved in high-profile projects such as COST CA15125 and the European SenVibe project. In addition to her research, Prof. Cveticanin is an active leader in scientific communities, serving as president of the Academy of Sciences of Vojvodina and editor-in-chief of the Analecta Technica Szegedinensia.

Professional Profile 

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Education

Prof. Livija Cveticanin’s educational journey reflects a distinguished academic path in mechanical engineering and nonlinear dynamics. She graduated with a degree in Mechanical Engineering from the University of Novi Sad, Serbia. Building on this solid foundation, she pursued advanced studies at the same institution, earning her PhD at the University of Novi Sad. Her academic ambitions further led her to the Hungarian Academy of Sciences in Budapest, where she obtained the prestigious Doctor of Science degree. Prof. Cveticanin’s academic expertise spans the fields of rotor dynamics, nonlinear vibrations, and complex mechanical systems, with significant contributions to solving strong nonlinear differential equations. She continues to shape the future of engineering education as a member of the Doctoral School of Safety and Security Sciences at Obuda University in Budapest and as a faculty member at various esteemed institutions in Europe. Her academic achievements are a testament to her commitment to excellence in both research and education.

Professional Experience

Prof. Livija Cveticanin has an illustrious academic career, holding prestigious positions at multiple renowned institutions. She is a Professor Emeritus at the University of Novi Sad in Serbia, a Professor at Obuda University in Hungary, and an Honorary Professor at the Polytechnic University in Timisoara, Romania. She earned her PhD at the University of Novi Sad and her Doctor of Science degree at the Hungarian Academy of Sciences in Budapest. Prof. Cveticanin has made significant contributions to the fields of rotor dynamics, nonlinear vibrations, and mechanical engineering, publishing over 200 journal papers, six monographs, and several chapters in international books. She developed the innovative “Cveticanin Method” for solving nonlinear differential equations of vibration. As a respected leader in her field, she has been a plenary speaker at numerous international awards, led international research projects, and served as Editor-in-Chief of Analecta Technica Szegedinensia. Her work has earned her recognition as one of the top 2% scientists globally.

Research Interest

Prof. Livija Cveticanin’s research interests primarily focus on the dynamics of rotors and machines with variable mass, as well as nonlinear vibrations in mechanical systems. Her pioneering work addresses the challenges of solving strong nonlinear differential equations of vibration, for which she developed the widely recognized Cveticanin Method. This method has become an important tool in the study of nonlinear vibrations. Prof. Cveticanin’s contributions extend to areas such as the application of analytical techniques to dynamic systems, including machinery and mechanical components subjected to complex, time-varying forces. Her expertise also covers the behavior of nonlinear dynamic systems under different operational conditions, which is crucial for designing more efficient and reliable mechanical systems. Prof. Cveticanin is involved in both theoretical research and practical applications, with significant contributions to engineering design, machine dynamics, and the development of methodologies for tackling difficult vibration problems.

Award and Honor

Prof. Livija Cveticanin has received numerous prestigious awards and honors throughout her distinguished career, recognizing her groundbreaking contributions to the field of nonlinear dynamics and mechanical engineering. Notably, she has been included in the Stanford University Ranking of the top 2% most influential scientists in the world, based on her lifetime publication and citation records. In 2001, Thomson Reuters awarded her for publishing the most cited one-author paper in Serbia, which was also ranked among the top 1% of the most cited papers in physics. Additionally, she has been honored with leadership roles, including being the president of the Academy of Sciences of Vojvodina and holding positions in several esteemed scientific organizations such as GAMM and IFToMM. Her remarkable achievements and contributions to academia have earned her international recognition, with invitations to lecture at renowned institutions, such as CISM in Udine, Italy, and the International PhD School of Nonlinear Sciences in São Paulo, Brazil.

Conclusion

Prof. Livija Cveticanin stands as an outstanding figure in the field of mechanical engineering and nonlinear dynamics, making profound contributions to rotor dynamics, vibrations, and differential equations. With over 200 journal papers and six monographs published by renowned publishers such as Springer, her work has earned global recognition. Notably, her innovative “Cveticanin Method” has become a fundamental tool in solving nonlinear vibration equations. Prof. Cveticanin’s leadership and involvement in international projects, such as COST CA15125 (DENORMS) and SenVibe, further solidify her status as a driving force in advancing the field. As the president of the Academy of Sciences of Vojvodina and Editor-in-Chief of Analecta Technica Szegedinensia, her influence extends beyond research into academia and international collaborations. Her recognition in the Stanford University ranking of the top 2% of most cited scientists globally exemplifies her lasting impact and underscores her eligibility for the Best Researcher Award.

Publications Top Noted

  • Title: Homotopy–perturbation method for pure nonlinear differential equation
    Authors: L. Cveticanin
    Year: 2006
    Citations: 330
  • Title: Dynamic modeling of a pneumatic muscle actuator with two-direction motion
    Authors: J. Sárosi, I. Biro, J. Nemeth, L. Cveticanin
    Year: 2015
    Citations: 131
  • Title: Oscillator with fraction order restoring force
    Authors: L. Cveticanin
    Year: 2009
    Citations: 110
  • Title: Strong nonlinear oscillators
    Authors: L. Cveticanin
    Year: 2018
    Citations: 108
  • Title: Dynamics of machines with variable mass
    Authors: L. Cveticanin
    Year: 2022
    Citations: 98
  • Title: Dynamic characterization and simulation of two-link soft robot arm with pneumatic muscles
    Authors: A. Hošovský, J. Piteľ, K. Židek, M. Tóthová, J. Sárosi, L. Cveticanin
    Year: 2016
    Citations: 89
  • Title: Oscillator with strong quadratic damping force
    Authors: L. Cveticanin
    Year: 2009
    Citations: 78
  • Title: Jacobi elliptic functions: a review of nonlinear oscillatory application problems
    Authors: I. Kovacic, L. Cveticanin, M. Zukovic, Z. Rakaric
    Year: 2016
    Citations: 75
  • Title: The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
    Authors: L. Cveticanin
    Year: 2005
    Citations: 70
  • Title: Oscillator with a Sum of Noninteger‐Order Nonlinearities
    Authors: L. Cveticanin, T. Pogany
    Year: 2012
    Citations: 67
  • Title: Resonant vibrations of nonlinear rotors
    Authors: L. Cveticanin
    Year: 1995
    Citations: 66
  • Title: Dynamics of mechanical systems with non-ideal excitation
    Authors: L. Cveticanin, M. Zukovic, J. M. Balthazar
    Year: 2018
    Citations: 64
  • Title: Dynamics of the non-ideal mechanical systems: A review
    Authors: L. Cveticanin
    Year: 2010
    Citations: 62
  • Title: Vibrations of a coupled two-degree-of-freedom system
    Authors: L. Cveticanin
    Year: 2001
    Citations: 61
  • Title: Chaos in non-ideal mechanical system with clearance
    Authors: M. Zukovic, L. Cveticanin
    Year: 2009
    Citations: 59
  • Title: The motion of a two-mass system with non-linear connection
    Authors: L. Cveticanin
    Year: 2002
    Citations: 59
  • Title: Free vibration of a Jeffcott rotor with pure cubic non-linear elastic property of the shaft
    Authors: L. Cveticanin
    Year: 2005
    Citations: 55
  • Title: Conservation laws in systems with variable mass
    Authors: L. Cveticanin
    Year: 1993
    Citations: 55
  • Title: Sorption behavior of polycyclic aromatic hydrocarbons on biodegradable polylactic acid and various nondegradable microplastics: Model fitting and mechanism analysis
    Authors: M. Lončarski, V. Gvoić, M. Prica, L. Cveticanin, J. Agbaba, A. Tubić
    Year: 2021
    Citations: 53
  • Title: Approximate analytical solutions to a class of non-linear equations with complex functions
    Authors: L. Cveticanin
    Year: 1992
    Citations: 52