Dr. Fahim Ud Din
Assistant Professor in Mathematics
🔬 Research Interests: Fractional Stochastic Differential Equations · Random & Stochastic Fixed Points · Iterative Function System & Fractal Theory · Fixed Point Analysis of Fractional Dynamics · Applications in Chaotic Models
📧 fahim@sms.edu.pk | fahamiiu@gmail.com | 📞 +92-347-0004112
Qualifications
Ph.D (Mathematics) (2014–2018) – Quaid-I-Azam University, Islamabad, Pakistan.
Area: Fixed Point Theory and Its Applications, Fuzzy Fixed Point Theory, Contractive Type Mappings, Iterated Function System
Area: Fixed Point Theory and Its Applications, Fuzzy Fixed Point Theory, Contractive Type Mappings, Iterated Function System
MS/M.Phil (Mathematics) (2011–2014) – International Islamic University, Islamabad, Pakistan.
Area: Fixed Point Theory and its Applications
Area: Fixed Point Theory and its Applications
BS(Hons.) (Mathematics) (2007–2011) – International Islamic University, Islamabad, Pakistan.
Educational Experiences
Dec.2021 – to date
Assistant Professor at Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan.
Dec.2018 – Dec.2021
Assistant Professor at Department of Mathematics, International Islamic University Islamabad, Pakistan.
2015 – 2018
Lecture and Assistant Professor at Sir Syed Center for Advanced Studies in Engineering and Information Technology (SS-CASE-IT), Islamabad, Pakistan.
2021 – 2022
Visiting Lecturer at Nanjing University of Information and Technology (NUIST), Nanjing, China.
Courses Taught
Postgraduate Level
Advanced Linear Algebra
Stochastic Processes
Topics in Analysis
Abstract Algebra
Advanced Functional Analysis
Banach Algebra
Function Spaces
Undergraduate Level
Numerical Analysis
Complex Analysis
Statistics and Probability
Calculus
Functional Analysis
Discrete Structures
Group Theory
Number Theory
Differential Equations
Probability and Random Variables
Research & Profiles
📊 100+ Publications | 700+ Citations
Selected Publications
- Fahim Ud Din, S. Nawaz, Adil Jhangeer and Fairouz Tchier "Fractals in S_b-metric spaces" Complex and Intelligent Systems, 11(5) (2025): 1-17. https://doi.org/10.1007/s40747-025-01234-5, IF=4.6, Q2
- Albalawi, Wedad, Muhammad Imran Liaqat, Fahim Ud Din, Kottakaran Sooppy Nisar, & Abdel-Haleem Abdel-Aty "The analysis of fractional neutral stochastic differential equations in Lp space" AIMS Mathematics, 9(7) (2024): 17386-17413. doi.org/10.3934/math.202417386, IF=1.8, Q1
- Liaqat, Muhammad Imran, Fahim Ud Din, Wedad Albalawi, Kottakaran Sooppy Nisar, & Abdel-Haleem Abdel-Aty "Analysis of stochastic delay differential equations in the framework of conformable fractional derivatives" AIMS Mathematics, 9(5) (2024): 11194-11211. doi.org/10.3934/math.202411194, IF=1.8, Q1
- Muhammad Imran Liaqat, Fahim Ud Din, Ali Akgul, Muhammad Bilal Riaz "Some important results for the conformable fractional stochastic pantograph differential equations in the L p space" J. Math. Computer Sci., 37 (2025): 106-131. doi.org/10.28919/jmcs/2025/37/xx, IF=1.2, Q1
- Albalawi, Wedad, Muhammad Imran Liaqat, Fahim Ud Din, Kottakaran Sooppy Nisar, & Abdel-Haleem Abdel-Aty "Significant results in the pth moment for Hilfer fractional stochastic delay differential equations" AIMS Mathematics, 10(4) (2025): 9852-9881. doi.org/10.3934/math.2025451, IF=1.8, Q1
- Muhammad Saeed, Fahim Ud Din, Ilyas Khan, & Haroon Ahmad "A novel framework for graph-based interpolative contractions with applications to integral equations" J. Appl. Math. Comput., (2025). doi.org/10.1007/s12190-025-02644-4, IF=2.7, Q1
- Ahmad, Haroon, Fahim Ud Din, & Mudasir Younis "A novel Ciric-Reich-Rus fixed point approach for the existence and uniqueness criterion of a fractional-order Aizawa chaotic system" Chaos, Solitons & Fractals, 200 (2025): 116932. doi.org/10.1016/j.chaos.2025.116932, IF=5.6, Q1
- Younis, Mudasir, Haroon Ahmad, Mahpeyker Ozturk, Fahim Ud Din, & Muhammad Qasim "Unveiling fractional-order dynamics: A new method for analyzing Rössler Chaos" Journal of Computational and Applied Mathematics, 468 (2025): 116639. doi.org/10.1016/j.cam.2025.116639, IF=2.6, Q1
- Haroon Ahmad, Fahim Ud Din, Mudasir Younis, & Lili Chen "A simple interpolative contraction approach for analyzing existence and uniqueness of solutions in the fractional-order King Cobra model" Chaos, Solitons & Fractals, 199 (2025): 116578. doi.org/10.1016/j.chaos.2025.116578, IF=5.6, Q1
- Haroon Ahmad, Fahim Ud Din, & Mudasir Younis "Fractional order Lorenz dynamics: investigating existence and uniqueness via basic contraction" J. Appl. Math. Comput., (2025). doi.org/10.1007/s12190-025-02550-9, IF=2.7, Q1
- Albalawi, Wedad, Muhammad Imran Liaqat, Fahim Ud Din, Kottakaran Sooppy Nisar, & Abdel-Haleem Abdel-Aty "Significant results in the pth moment for Hilfer fractional stochastic delay differential equations" AIMS Mathematics, 10(4) (2025): 9852-9881. doi.org/10.3934/math.2025451, IF=1.8, Q1
- Ahmad, Haroon, Fahim Ud Din, and Mudasir Younis "A fixed point analysis of fractional dynamics of heat transfer in chaotic fluid layers" Journal of Computational and Applied Mathematics, 453 (2025): 116144. doi.org/10.1016/j.cam.2025.116144, IF=2.6, Q1
Supervision
🎓 PhD Students: 5
📘 MS Students: 12
Computer Skills
MATLAB
MikTex (WinEdit, Latex)
Mathematica
