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

Saif Ur Rehman | Applied Mathematics | Best Researcher Award

Dr. Saif Ur Rehman | Applied Mathematics | Best Researcher Award

Research Assistant at Consiglio Nazionale delle Ricerche (CNR), Genoa, Italy, Pakistan.

Saif Ur Rehman is a dedicated researcher in Computational Fluid Dynamics (CFD), Numerical Analysis, and Partial Differential Equations, with a strong academic and research background. He has worked as a Research Assistant at the National Research Council, Italy, and previously at the University of Calabria, Italy, and the University of Management and Technology, Pakistan. His research focuses on nanofluid dynamics, MHD flows, bioconvection, and heat transfer, leading to multiple Q1 and Q2 publications in high-impact journals such as Nanomaterials, Mathematics, and Waves in Random and Complex Media. He has received merit-based scholarships and a Research Publication Award, demonstrating his academic excellence. Additionally, he possesses strong technical skills in Python, MATLAB, C++, and LaTeX, aiding in his numerical modeling research. With international research exposure and a growing publication record, Saif Ur Rehman is an emerging scholar in applied mathematics, aiming to expand his contributions to mathematical modeling and computational sciences.

Professional Profile 

Google Scholar

Education

Saif Ur Rehman holds a Master of Science in Mathematics from the University of Management and Technology, Lahore, Pakistan (2019–2021), where he specialized in Advanced Numerical Analysis, Fluid Dynamics, and Differential Equations. His master’s thesis focused on the MHD Williamson Nanofluid Flow over a Slender Elastic Sheet in the Presence of Bioconvection. Before this, he earned a Bachelor of Science in Mathematics from Government College University, Faisalabad (2015–2019), securing a 3.55/4.00 GPA. His undergraduate studies included Fluid Mechanics, Numerical Analysis, Real and Complex Analysis, and C++ Programming, laying a strong foundation for his research in computational mathematics. Throughout his academic journey, he received multiple merit-based scholarships, including the Punjab Education Endowment Fund Scholarship (PEEF) and a fully funded master’s scholarship, reflecting his dedication and academic excellence. His education has equipped him with expertise in mathematical modeling, numerical simulations, and applied mathematics, which he continues to explore in his research.

Professional Experience

Saif Ur Rehman has gained extensive research experience through multiple roles at renowned international institutions. He is currently a Research Assistant at the National Research Council, Genoa, Italy (2024–Present), working on Optimal Robust Shape Control for Distributed Parameter Systems. Previously, he was a University Research Assistant at the University of Calabria, Italy (2023–2024), focusing on applications of heat and mass transfer. His earlier role as a Research Assistant at the University of Management and Technology, Pakistan (2021–2023) involved a major research project on Numerical Methods for Partial Differential Equations, where he contributed to multiple high-impact publications. Alongside research, he worked as a Visiting Lecturer in Mathematics (2021–2022), teaching Calculus, Linear Algebra, Fluid Dynamics, and Numerical Analysis at the undergraduate level. His professional experience demonstrates his ability to conduct applied mathematics research, develop numerical solutions, and contribute to theoretical and computational fluid dynamics.

Research Interest

Saif Ur Rehman’s research is deeply rooted in Computational Fluid Dynamics (CFD), Numerical Analysis, and Partial Differential Equations (PDEs), with a strong focus on heat and mass transfer, MHD flows, and bioconvection. He has extensively studied the dynamics of nanofluids, micropolar fluids, and dusty fluids under various physical constraints, contributing significantly to theoretical and computational modeling in applied mathematics. His work integrates Artificial Neural Networks (ANNs) and Machine Learning techniques to enhance numerical simulations and solve complex mathematical physics problems. His research contributions, published in Q1 and Q2 impact factor journals, cover topics such as the effects of Lorentz and Coriolis forces, Darcy–Forchheimer flow models, and stability analysis of fluid flows. With expertise in Python, MATLAB, C++, and LaTeX, he continues to explore innovative numerical methods for solving real-world mathematical problems, aiming to bridge the gap between theory and industrial applications.

Awards and Honors

Saif Ur Rehman has received multiple scholarships and research excellence awards in recognition of his academic achievements. He was honored with the Research Publication Award (2022) at the University of Management and Technology, Pakistan, for his outstanding contributions to applied mathematics research. His academic journey has been supported by fully funded merit-based scholarships, including the Punjab Education Endowment Fund Scholarship (PEEF) during his bachelor’s studies and a fully funded master’s scholarship for his postgraduate studies. Additionally, he was awarded a Prime Minister’s Laptop under the Government of Pakistan’s Higher Education Initiative, recognizing his academic excellence. Beyond research, he has demonstrated leadership and management skills, serving as a class representative throughout his bachelor’s studies and actively participating in academic societies and awards. His awards reflect his dedication to mathematical research, academic excellence, and contributions to the global scientific community.

Conclusion

Saif Ur Rehman is an emerging researcher in Computational Fluid Dynamics, Numerical Analysis, and Partial Differential Equations, with a strong academic background and international research exposure. His work in nanofluid dynamics, MHD flows, and heat transfer has resulted in high-impact publications and significant contributions to applied mathematics. His expertise in Python, MATLAB, and numerical modeling techniques has strengthened his research capabilities. Having worked at renowned institutions in Italy and Pakistan, he has gained experience in both theoretical and applied research, positioning himself as a promising scholar in mathematical modeling and computational sciences. His awards, scholarships, and research achievements demonstrate his dedication to scientific innovation. Moving forward, he aims to further his research in numerical simulations, machine learning applications in CFD, and advanced mathematical modeling, contributing to both academic advancements and real-world engineering applications.

Publications Top Noted

  • Title: Insight into significance of bioconvection on MHD tangent hyperbolic nanofluid flow of irregular thickness across a slender elastic surface

    • Authors: MZ Ashraf, SU Rehman, S Farid, AK Hussein, B Ali, NA Shah, W Weera
    • Year: 2022
    • Citations: 92
    • Source: Mathematics, 10(15), 2592
  • Title: Numerical computation of buoyancy and radiation effects on MHD micropolar nanofluid flow over a stretching/shrinking sheet with heat source

    • Authors: SU Rehman, A Mariam, A Ullah, MI Asjad, MY Bajuri, BA Pansera, et al.
    • Year: 2021
    • Citations: 86
    • Source: Case Studies in Thermal Engineering, 25, 100867
  • Title: Micropolar dusty fluid: Coriolis force effects on dynamics of MHD rotating fluid when Lorentz force is significant

    • Authors: Q Lou, B Ali, SU Rehman, D Habib, S Abdal, NA Shah, JD Chung
    • Year: 2022
    • Citations: 84
    • Source: Mathematics, 10(15), 2630
  • Title: The Casson dusty nanofluid: Significance of Darcy–Forchheimer law, magnetic field, and non-Fourier heat flux model subject to stretch surface

    • Authors: SU Rehman, N Fatima, B Ali, M Imran, L Ali, NA Shah, JD Chung
    • Year: 2022
    • Citations: 72
    • Source: Mathematics, 10(16), 2877
  • Title: MHD Williamson nanofluid flow over a slender elastic sheet of irregular thickness in the presence of bioconvection

    • Authors: F Wang, MI Asjad, SU Rehman, B Ali, S Hussain, TN Gia, T Muhammad
    • Year: 2021
    • Citations: 63
    • Source: Nanomaterials, 11(9), 2297
  • Title: Significance of dust particles, nanoparticles radius, Coriolis and Lorentz forces: The case of Maxwell dusty fluid

    • Authors: Y Wei, SU Rehman, N Fatima, B Ali, L Ali, JD Chung, NA Shah
    • Year: 2022
    • Citations: 36
    • Source: Nanomaterials, 12(9), 1512
  • Title: Computational analysis for bioconvection of microorganisms in Prandtl nanofluid Darcy–Forchheimer flow across an inclined sheet

    • Authors: J Wang, Z Mustafa, I Siddique, M Ajmal, MMM Jaradat, SU Rehman, B Ali, et al.
    • Year: 2022
    • Citations: 23
    • Source: Nanomaterials, 12(11), 1791
  • Title: First solution of fractional bioconvection with power law kernel for a vertical surface

    • Authors: MI Asjad, S Ur Rehman, A Ahmadian, S Salahshour, M Salimi
    • Year: 2021
    • Citations: 18
    • Source: Mathematics, 9(12), 1366
  • Title: Dynamics of Eyring–Powell nanofluids when bioconvection and Lorentz forces are significant: The case of a slender elastic sheet of variable thickness with porous medium

    • Authors: A Manan, SU Rehman, N Fatima, M Imran, B Ali, NA Shah, JD Chung
    • Year: 2022
    • Citations: 13
    • Source: Mathematics, 10(17), 3039
  • Title: Hydrodynamical study of couple stress fluid flow in a linearly permeable rectangular channel subject to Darcy porous medium and no-slip boundary conditions

    • Authors: M Ishaq, SU Rehman, MB Riaz, M Zahid
    • Year: 2024
    • Citations: 10
    • Source: Alexandria Engineering Journal, 91, 50-69