Rahman Ullah Khan | Applied Mathematics | Best Researcher Award

Dr. Rahman Ullah Khan | Applied Mathematics | Best Researcher Award

Ph.D at Quaid e Azam University Islamabad, Pakistan

Dr. Rahman Ullah Khan is an accomplished mathematician specializing in fractional differential equations and fixed point theory. 🎓 Currently pursuing his Ph.D. at Quaid-i-Azam University, Islamabad, his research focuses on the existence, uniqueness, and stability of solutions to complex fractional systems. His work combines rigorous mathematical theory with computational techniques, utilizing tools like MATLAB and Mathematica for numerical solutions. 💻 Dr. Khan has published several notable papers in high-impact journals, including Boundary Value Problems and Physica Scripta, showcasing his expertise in advanced mathematical analysis. 📚 He actively contributes to the academic community by presenting his findings at international conferences and engaging in teaching roles, mentoring future mathematicians. 🌍 Beyond his research, Dr. Khan has demonstrated leadership in organizing seminars and events to promote mathematical education and global collaborations. His dedication to advancing the field of pure mathematics, combined with his passion for knowledge-sharing, makes him a standout researcher. 🌟

Professional Profile 

Google Scholar
Scopus Profile

Education 📖🎓

Dr. Rahman Ullah Khan holds a Ph.D. in Mathematics from Quaid-i-Azam University, Islamabad, Pakistan, where he is currently conducting research on fractional differential equations and fixed point theory. 🎓 He completed his M.Phil. in Mathematics at the same institution, with an exceptional GPA, demonstrating his strong foundation in applied and pure mathematics. 📚 Throughout his academic journey, Dr. Khan’s thesis focused on solving fractional differential equations using advanced mathematical techniques, which showcased his commitment to solving complex mathematical problems.

Professional Experience ✨

Dr. Khan’s professional journey includes serving as a teaching assistant at Quaid-i-Azam University, where he taught fractional differential equations and applied mathematics. 📘 He has also worked as a private math tutor, helping students grasp complex mathematical concepts. Additionally, he has held leadership roles, including Vice President of the Quaidian Mathematical Society, and has organized seminars to enhance the academic community’s knowledge of mathematics. 🌐

Research Interests 🧮

Dr. Khan’s research interests are primarily centered on fractional differential equations and fixed point theory. 🧠 He focuses on solving fractional systems using fixed point theorems to establish solution existence, uniqueness, and stability. His work applies these concepts to real-world problems, using computational methods such as MATLAB to simulate and analyze results. 💡 His research aims to bridge the gap between theoretical mathematics and its applications in areas like engineering and physics, with an emphasis on making mathematical models more efficient and practical. 🔍

Awards and Honors 🏆

Dr. Khan has received recognition for his exceptional academic performance, including high GPAs in both his M.Phil. and Ph.D. programs. 🌟 His contributions to mathematics are widely respected, and his research articles have been published in reputable journals like Boundary Value Problems and Physica Scripta. 🏆 He has also been invited to present his findings at several international conferences, where his work on fractional differential equations has been well-received. 🌍

Conclusion🌍📚

Dr. Rahman Ullah Khan is a promising and passionate mathematician with a strong academic background and significant research contributions in the field of fractional differential equations and fixed point theory. 📈 His deep knowledge, combined with computational skills and leadership in the academic community, makes him an asset to the field of mathematics. With a commitment to advancing mathematical solutions for real-world problems, Dr. Khan is poised for further success in both research and teaching. 🌟 His dedication to knowledge-sharing and solving complex mathematical problems continues to inspire future generations of mathematicians.

Publications Top Notes

📘 On qualitative analysis of a fractional hybrid Langevin differential equation with novel boundary conditions
Authors: G Ali, RU Khan, Kamran, A Aloqaily, N Mlaiki
Year: 2024
Citation: Boundary Value Problems 2024 (1), 62
Source: Boundary Value Problems


🔍 The study of nonlinear fractional boundary value problems involving the p-Laplacian operator
Authors: AU Khan, RU Khan, G Ali, S Aljawi
Year: 2024
Citation: Physica Scripta 99 (8), 085221
Source: Physica Scripta


🌐 The Existence and Stability of Integral Fractional Differential Equations
Authors: RU Khan, IL Popa
Year: 2025
Citation: Fractal and Fractional 9 (5), 295
Source: Fractal and Fractional


📝 Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions
Authors: RU Khan, IL Popa
Year: 2025
Citation: Partial Differential Equations in Applied Mathematics 13, 101132
Source: Partial Differential Equations in Applied Mathematics


💡 New Results on the Stability and Existence of Langevin Fractional Differential Equations with Boundary Conditions
Authors: RU Khan, M Samreen, G Ali, IL Popa
Year: 2025
Citation: Fractal and Fractional 9 (2), 127
Source: Fractal and Fractional


🔬 Existence and Stability of Implicit Fractional Differential Equations Involving the p-Laplacian Operator and Their Applications
Authors: RU Khan, M Samreen, G Ali, IL Popa
Year: 2024
Citation: Physica Scripta
Source: Physica Scripta


🧮 On the qualitative analysis of the boundary value problem of the Ψ-Caputo implicit fractional pantograph differential equation
Authors: RU Khan, M Samreen, G Ali, I Argyros
Year: 2024
Citation: Journal of Applied Math 2 (6), 1977-1977
Source: Journal of Applied Math

Arnulfo Luévanos Rojas | Mathematical Engineering | Mathematical Engineering Excellence Award

Dr. Arnulfo Luévanos Rojas | Mathematical Engineering | Mathematical Engineering Excellence Award

Professor and Researcher at Universidad Autónoma de Coahuila, Mexico

Dr. Arnulfo Luévanos Rojas is a distinguished professor and researcher at Universidad Autónoma de Coahuila, with over 40 years of academic and research experience in mathematical engineering. Holding a PhD in Engineering with a specialization in Planning and Construction Systems, he has made significant contributions to mathematical modeling in structural engineering. He has authored 141 journal articles, 10 books, and served as a guest editor for Mathematics, with an h-index of 20 and over 1,186 citations. His groundbreaking research on beam and footing models has optimized structural design, minimizing cost and improving efficiency. Recognized with prestigious awards such as the Researcher of the Year and inclusion in the World’s Top 2% Scientists List, he has supervised 24 PhD theses and led multiple consultancy projects. His extensive collaborations in international journals and committees further underscore his influence, making him a leading figure in applied and computational mathematics within engineering.

Professional Profile 

Google Scholar
Scopus Profile
ORCID Profile

Education

Dr. Arnulfo Luévanos Rojas holds an extensive academic background in engineering and applied mathematics. He earned a degree in Civil Engineering, followed by a Master of Science specializing in Planning and Construction of Works. Further enhancing his expertise, he completed a Master’s in Administration and a specialization in Structural Engineering. His academic journey culminated with a PhD in Engineering, focusing on Planning and Construction Systems, which laid the foundation for his groundbreaking research in mathematical modeling and structural optimization. His multidisciplinary education has equipped him with the knowledge to integrate mathematical theories with real-world engineering applications, particularly in designing efficient and cost-effective structural models. His diverse academic training has enabled him to bridge the gap between engineering practice and advanced mathematical methodologies, making significant contributions to the field of mathematical engineering.

Professional Experience

Dr. Luévanos Rojas has over four decades of academic and research experience in engineering and applied mathematics. He began his teaching career in 1983 and served as a professor until 2006. From 2006 to 2014, he was a professor and researcher at Universidad Juárez del Estado de Durango, where he contributed to engineering education and research. Since 2015, he has been a professor and researcher at Universidad Autónoma de Coahuila, where he continues to make significant advancements in mathematical engineering. Over the years, he has supervised 24 PhD, 17 Master’s, and 24 Bachelor’s theses, demonstrating his strong mentorship and academic leadership. Additionally, he has contributed to four consultancy projects, collaborating with industry partners to apply his mathematical models to real-world engineering problems. His professional experience reflects a commitment to advancing engineering through applied mathematics, research, and education.

Research Interest

Dr. Luévanos Rojas specializes in mathematical models, applied and computational mathematics, optimization methods, and engineering applications. His research focuses on developing innovative mathematical models for structural components, such as beams and footings, considering both bending and shear deformations to enhance structural integrity and cost efficiency. His work addresses critical challenges in engineering by introducing precise and optimized modeling techniques, reducing dependency on trial-and-error methods. Additionally, his research extends to applied mathematics, where he develops advanced computational techniques for structural analysis. His contributions in optimization methods ensure the efficient use of materials and resources in construction projects. Through international collaborations and editorial roles, he continues to advance research in mathematical engineering, integrating computational approaches and theoretical advancements to improve real-world engineering applications.

Awards and Honors

Dr. Luévanos Rojas has received numerous prestigious awards recognizing his outstanding contributions to research and engineering. He was honored with the Benito Juárez Medal, the Best Scientific Article Award, and the Researcher of the Year title, reflecting his excellence in academic and applied research. He has also been acknowledged for his career-long contributions to scientific development, receiving a special mention at the 3rd International Symposium on Technological and Organizational Innovation (SITOI). His inclusion in the World’s Top 2% Scientists List further underscores his impact on global research. Additionally, he has been a member of Mexico’s National System of Researchers (SNI), advancing from Level I (2016-2022) to Level II (2023-2027), a recognition of his growing influence in the academic community. His leadership in international conferences, editorial boards, and professional committees highlights his commitment to advancing mathematical engineering research and education.

Conclusion

Dr. Arnulfo Luévanos Rojas is a highly accomplished researcher and professor whose contributions to mathematical engineering have significantly impacted structural modeling and optimization. His extensive academic background, spanning multiple engineering disciplines, provides a strong foundation for his research. With over 141 journal publications, 10 books, and an impressive citation record, he has established himself as a leading figure in applied and computational mathematics. His research on mathematical models for beams and footings has improved structural efficiency and cost-effectiveness, making a tangible impact on engineering practices. Recognized with multiple national and international awards, he continues to shape the future of mathematical engineering through research, mentorship, and collaboration. His dedication to advancing the field through innovative modeling techniques, industry partnerships, and academic leadership makes him a distinguished expert in mathematical and applied engineering sciences.

Publications Top Notes

  • Title: Optimal Surface in Plan for Hollow Circular Footings Assuming That the Contact Surface with Soil Works Partially Under Compression
    Authors: E.R. Díaz-Gurrola, Eyrán Roberto; A. Luévanos-Rojas, A.; G.J. Montiel-Sánchez, Gloria Josefina; C. Martínez-Aguilar, Carmela
    Year: 2025
    Source: International Journal of Innovative Computing, Information and Control

  • Title: Optimal Cost Design of RC T-Shaped Combined Footings
    Authors: V.M. Moreno-Landeros, Victor Manuel; A. Luévanos-Rojas, A.; G. Santiago-Hurtado, Griselda; A.L. López León, Abraham Leonel; A.E. Landa-Gómez, Aldo Emelio
    Year: 2024
    Source: Buildings

  • Title: Optimal Area for Rectangular Foundation Slabs in Plan Supported on Soil
    Authors: M.I.L. Ávila-García, María Ilce Leticia; A. Luévanos-Rojas, A.; C. Martínez-Aguilar, Carmela; L.L. Gaona-Tamez, Laura Leticia
    Year: 2024
    Source: International Journal of Innovative Computing, Information and Control

  • Title: Optimal Area for a Rectangular Isolated Footing with an Eccentric Column and Partial Ground Compression
    Authors: V.M. Moreno-Landeros, Victor Manuel; A. Luévanos-Rojas, A.; G. Santiago-Hurtado, Griselda; L.D. López León, Luis Daimir; E.R. Díaz-Gurrola, Eyrán Roberto
    Year: 2024
    Source: Applied Sciences (Switzerland)
    Citations: 1

  • Title: Mathematical Modeling for the Optimal Cost Design of Circular Isolated Footings with Eccentric Column
    Authors: A. Luévanos-Rojas, A.; V.M. Moreno-Landeros, Victor Manuel; G. Santiago-Hurtado, Griselda; M.A. Baltazar-Zamora, Miguel Angel; E.R. Díaz-Gurrola, Eyrán Roberto
    Year: 2024
    Source: Mathematics
    Citations: 2

  • Title: Modelling for Mechanical Elements of T-Shaped Cross-Sectional Beams with Straight Haunches: Part II
    Authors: O. Sierra-Andrade, Omar; A. Luévanos-Rojas, A.; B.E. Montano-Pérez, Blanca Estela
    Year: 2024
    Source: International Journal of Innovative Computing, Information and Control

  • Title: Modelling for Mechanical Elements of T-Shaped Cross-Sectional Beams with Straight Haunches: Part I
    Authors: C. Rodríguez-Reyes, Cynthia; A. Luévanos-Rojas, A.; C. Martínez-Aguilar, Carmela
    Year: 2024
    Source: International Journal of Innovative Computing, Information and Control

  • Title: Minimum Cost Design for Circular Isolated Footings with Eccentric Column Taking Into Account That the Surface in Contact with the Ground Works Partially in Compression
    Authors: I. Luévanos-Soto, Inocencio; A. Luévanos-Rojas, A.; V.M. Moreno-Landeros, Victor Manuel; G. Santiago-Hurtado, Griselda
    Year: 2024
    Source: Coupled Systems Mechanics

  • Title: Deflections in Beams of Rectangular Cross Section with Parabolic Haunches Subjected to a Concentrated Load
    Authors: R. Barraza-Saucedo, Rogelio; A. Luévanos-Rojas, A.
    Year: 2024
    Source: Computacion y Sistemas

  • Title: Design of Isolated Footings of Rectangular Form Using a New Model
    Authors: A. Luévanos Rojas, J.G. Faudoa Herrera, R.A. Andrade Vallejo, …
    Year: 2013
    Source: International Journal of Innovative Computing, Information and Control
    Citations: 44

  • Title: Optimal Design for Rectangular Isolated Footings Using the Real Soil Pressure
    Authors: A. Luévanos-Rojas, S. López-Chavarría, M. Medina-Elizondo
    Year: 2017
    Source: Ingeniería e Investigación
    Citations: 38

  • Title: Optimal Dimensioning for the Corner Combined Footings
    Authors: S. López Chavarría, A. Luévanos Rojas, M. Medina Elizondo
    Year: 2017
    Source: Advances in Computational Design
    Citations: 35

  • Title: Design of Isolated Footings of Circular Form Using a New Model
    Authors: A. Luévanos Rojas
    Year: 2014
    Source: Structural Engineering and Mechanics
    Citations: 33

  • Title: Method of Structural Analysis for Statically Indeterminate Beams
    Authors: A. Luévanos Rojas
    Year: 2012
    Source: International Journal of Innovative Computing, Information and Control
    Citations: 32

  • Title: Design of Boundary Combined Footings of Rectangular Shape Using a New Model
    Authors: A. Luévanos Rojas
    Year: 2014
    Source: Dyna
    Citations: 30

  • Title: A Mathematical Model for Dimensioning of Footings Rectangular
    Authors: A. Luévanos Rojas
    Year: 2013
    Source: ICIC Express Letters, Part B, Applications
    Citations: 29

  • Title: Numerical Experimentation with a Human Migration Model
    Authors: V. Kalashnikov, N. Kalashnykova, R. Luévanos Rojas, M. Méndez Muños, …
    Year: 2008
    Source: European Journal of Operational Research
    Citations: 28

  • Title: A New Model for T-Shaped Combined Footings Part I: Optimal Dimensioning
    Authors: A. Luévanos Rojas, S. López Chavarría, M. Medina Elizondo
    Year: 2018
    Source: Geomechanics and Engineering
    Citations: 27

  • Title: Numerical Experimentation for the Optimal Design for Reinforced Concrete Rectangular Combined Footings
    Authors: F. Velázquez Santillán, A. Luévanos Rojas, S. López Chavarría, …
    Year: 2018
    Source: Advances in Computational Design
    Citations: 26

  • Title: Design of Boundary Combined Footings of Trapezoidal Form Using a New Model
    Authors: A. Luévanos Rojas
    Year: 2015
    Source: Structural Engineering and Mechanics
    Citations: 26