Rahman Ullah Khan | Applied Mathematics | Best Researcher Award

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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 

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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

Boris Kryzhanovsky | Applied Mathematics | Best Researcher Award

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Prof. Dr. Boris Kryzhanovsky | Applied Mathematics | Best Researcher Award

Chief researcher at Scientific Research Institute for System Analysis of the National Research Center “Kurchatov Institute”, Russia

Dr. Boris Kryzhanovsky is a distinguished researcher with over five decades of experience in the fields of quantum electrodynamics, laser physics, and mathematical methods in neural networks, statistical physics, and nanotechnology. He graduated from Yerevan State University in 1971 and has since contributed significantly to scientific advancements. His work includes pioneering research in nonstationary four-wave mixing, the development of vector neural networks with large memory, and innovative methods for calculating partition functions of spin systems. Dr. Kryzhanovsky has published over 200 articles in renowned journals and holds an h-index of 19, reflecting the impact of his research. He is also the Editor-in-Chief of Optical Memory and Neural Networks and a Corresponding Member of the Russian Academy of Sciences. His leadership and extensive collaboration with international scientific communities further underscore his prominent role in advancing research in his fields of expertise.

Professional Profile 

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Education

Dr. Boris Kryzhanovsky completed his education at Yerevan State University, Armenia, where he graduated from the Physical Department in 1971. His academic foundation laid the groundwork for a distinguished career in scientific research. Throughout his career, Dr. Kryzhanovsky has maintained a strong commitment to advancing his knowledge in complex scientific fields, particularly in quantum electrodynamics, laser physics, and mathematical methods applied to neural networks and statistical physics. His early training at one of Armenia’s most prestigious universities provided him with the critical thinking and theoretical skills that have shaped his extensive body of work in these areas.

Professional Experience

Dr. Kryzhanovsky’s professional career spans over five decades, starting as a scientific researcher at the Institute for Physical Research in Armenia (1971-1991). He later worked at the Institute for Optical-Neuron Technologies RAS (1996-2006) and currently holds a chief researcher position at the Scientific Research Institute for System Analysis RAS. His career has seen significant contributions to the fields of neural networks and statistical physics, with leadership roles including Editor-in-Chief of Optical Memory and Neural Networks. Dr. Kryzhanovsky’s work is widely recognized for its deep theoretical insights and practical applications in various scientific domains.

Research Interests

Dr. Kryzhanovsky’s research interests are diverse, encompassing neural networks, statistical physics, and nanotechnology. He has made groundbreaking contributions in developing mathematical methods for the analysis of neural networks, especially focusing on vector neural networks with large memory for recognizing noisy patterns. Additionally, his work on the theory of nonstationary processes in quantum electrodynamics and the development of methods for calculating partition functions of spin systems highlights his interdisciplinary approach. His research also explores nanotechnology, particularly in relation to statistical mechanics, contributing to advances in both theoretical and applied physics.

Awards and Honors

Dr. Kryzhanovsky has received numerous honors throughout his career, underpinned by his significant contributions to scientific research. He is a Corresponding Member of the Russian Academy of Sciences and holds leadership positions in various academic and scientific societies. His work is frequently cited, reflected in his impressive h-index of 19 on Google Scholar, and he has authored over 200 journal articles in reputable SCI and Scopus-indexed publications. His professional standing and achievements are also evident from his role as Editor-in-Chief of Optical Memory and Neural Networks, further cementing his reputation in the scientific community.

Conclusion

Dr. Boris Kryzhanovsky is a highly respected researcher whose contributions to quantum electrodynamics, laser physics, neural networks, and statistical physics have had a profound impact on both theoretical and applied sciences. His academic background, coupled with extensive professional experience, has led to groundbreaking research that continues to shape the direction of several scientific fields. With a remarkable publication record and leadership roles within the scientific community, Dr. Kryzhanovsky remains a key figure in advancing knowledge and innovation. His achievements and dedication to research make him a standout in his field, deserving recognition for his substantial contributions to science.

Publications Top Noted