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

Leonid Litinskii | Applied Mathematics | Best Researcher Award

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Dr. Leonid Litinskii | Applied Mathematics | Best Researcher Award

Retired at Scientific Research Institute for System Analysis (formerly), Russia

Dr. Leonid Litinskii is a retired principal research scientist with an extensive academic and professional background in mathematical methods and statistical physics. He graduated from Kharkiv State University, Ukraine, and held prominent positions at the Institute for High Pressure Physics, Russian Academy of Sciences, and the Scientific Research Institute for System Analysis. With over 50 years of research experience, Dr. Litinskii is known for his pioneering work in developing the theory of vector neuron networks and the n-vicinity method for calculating the partition function in the Ising model. He has published around 100 papers in renowned scientific journals and contributed to the study of eigenvalues in the Ising model’s connection matrix. Additionally, Dr. Litinskii has made significant contributions to the analysis of quadratic functionals in large binary variable systems. A member of the European Neural Networks Society, he has left a lasting impact on the fields of mathematics and neural networks.

Professional Profile 

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Education

Dr. Leonid Litinskii completed his education at Kharkiv State University (now V. N. Karazin Kharkiv National University) in Ukraine, where he studied mathematics from 1966 to 1971. This solid foundation in mathematics paved the way for his distinguished career as a scientific researcher. His academic journey has always been focused on applying mathematical methods to complex scientific problems, particularly in statistical physics and neural networks. His studies and early research experiences contributed significantly to his future breakthroughs in these fields.

Professional Experience

Dr. Litinskii’s professional career spans over five decades, with notable research positions at esteemed institutions. He began his career as a scientific researcher at the Institute for High Pressure Physics of the Russian Academy of Sciences from 1973 to 2001. From 2001 to 2023, he worked as a Principal Research Scientist at the Scientific Research Institute for System Analysis, also within the Russian Academy of Sciences. Throughout his career, Dr. Litinskii has contributed extensively to the fields of mathematical physics and neural networks.

Research Interest

Dr. Litinskii’s research interests are primarily centered around mathematical methods in statistical physics and their application to neural networks. He has developed the theory of vector neuron networks and formulated the n-vicinity method for calculating the partition function of the Ising model. His work on the properties of eigenvalues in the Ising model’s connection matrix has been a significant contribution to the field of computational physics. Additionally, Dr. Litinskii has focused on the study of quadratic functionals in large binary variable systems, advancing mathematical modeling techniques.

Award and Honor

Throughout his career, Dr. Litinskii has earned recognition for his groundbreaking work in neural networks and statistical physics. While the details of specific awards and honors are not provided, his long tenure as a Principal Research Scientist and his role in advancing the fields of mathematics and neural networks have earned him respect and recognition in the scientific community. He is a member of the European Neural Networks Society, further emphasizing his distinguished position in the research community.

Conclusion

Dr. Leonid Litinskii’s career is a testament to dedication, innovation, and scholarly excellence. With over 50 years of research experience, his contributions to mathematical physics, neural networks, and statistical physics have been substantial. His work in developing the theory of vector neuron networks and the n-vicinity method has had a lasting impact on these fields. Though he has not yet focused on patents or practical applications, his theoretical contributions remain foundational. Dr. Litinskii’s legacy is one of a leading thinker who has shaped the advancement of mathematical and physical sciences.

Publications Top Noted