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