ASIM ILYAS

Contact Information:
Postal address: Shenzhen MSU-BIT University, No. 1 International University Park Road, Longgang District, 518172 Shenzhen, Guangdong Province, P.R. China.
Office: Room 331, 3rd Floor, Main Building.
Email: asim.ilyas8753@gmail.com
Educational Background:
· 2022.02 – 2025.03, Doctor of Philosophy in Mathematics, Department of Mathematics, COMSATS University Islamabad, Pakistan.
Supervisor: Prof. Salman Amin Malik.
· 2017.09 – 2019.09, Master of Science in Mathematics, Department of Mathematics, COMSATS University Islamabad, Pakistan.
Supervisor: Prof. Salman Amin Malik.
· 2013.10 – 2017.7, B.S. in Mathematics, Department of Mathematical, Government College University Faisalabad, Pakistan.
Working Experience:
· 2026.03 – Present, Postdoctoral Fellowship, MSU-BIT-SMBU Joint Research Centre of Applied Mathematics, Shenzhen MSU-BIT University, Shenzhen, China.
Supervisor: Prof. Ye Zhang.
· 2019.08 – 2022.01, Research Associate, Department of Mathematics, COMSATS University Islamabad, Pakistan.
Supervisor: Prof. Salman Amin Malik.
Research interests:
· Inverse problems, Partial differential equations.
Some Selected Publications:
1. Asim Ilyas, M. BenSalah, S. Tatar*, and S. Ulusoy, Inverse Source Identification for Generalized Fractional Pseudo-Parabolic Equations with Hybrid Nonlocal Observation, Communications in Nonlinear Science and Numerical Simulation, 161(1), 2026, 110068. https://doi.org/10.1016/j.cnsns.2026.110068
2. Asim Ilyas*, S. A. Malik & K. Suhaib, On nth Level Fractional Derivatives: An Equivalent Representation and Applications to Inverse Problem, arXiv preprint arXiv:2506.12614 (2025). https://doi.org/10.48550/arXiv.2506.12614
3. Asim Ilyas*, & S. Serra-Capizzano, Inverse source problems for identifying time and space-dependent coefficients in a 2D generalized diffusion equation, Applied Mathematics and Computation, 507, 2025, 129597. https://doi.org/10.1016/j.amc.2025.129597
4. A. Samreen, Asim Ilyas*, S. A. Beinane & L. Mansoor, Identifying the Anomalous Diffusion Process and Source Term in a Space-Time Fractional Diffusion Equation with Sturm-Liouville Operator, Mathematical Methods in the Applied Sciences, (2025). https://doi.org/10.1002/mma.11059
5. Asim Ilyas*, S. A. Malik & K. Suhaib, Existence and uniqueness results for generalized non-local Hallaire-Luikov moisture transfer equation, Acta Applicandae Mathematicae, 195(1), 2025, 9.
https://doi.org/10.1007/s10440-025-00712-2
6. Asim Ilyas* & S. A. Malik, Direct and some inverse problems for a generalized diffusion equation with variable coefficients, Computational and Applied Mathematics, 43(6), 2024, 1-26. https://doi.org/10.1007/s40314-024-02869-2
7. Asim Ilyas*, Z. Iqbal & S. A. Malik, On some direct and inverse problems for an integro-differential equation. Zeitschrift für angewandte Mathematik und Physik, 75, no. 2 (2024): 1-27. https://doi.org/10.1007/s00033-024-02186-y
8. Asim Ilyas*, R. A. Khalid & S. A. Malik, Identifying temperature distribution and source term for generalized diffusion equation with arbitrary memory kernel. Mathematical Methods in the Applied Sciences, (2024). https://doi.org/10.1002/mma.9896
9. Asim Ilyas, S. A. Malik* & K. Suhaib, Identifying diffusion concentration and source term for anomalous diffusion equation, Reports on Mathematical Physics, 93, no. 2 (2024): 145-163. https://doi.org/10.1016/S0034-4877(24)00023-5
10. Asim Ilyas, S. A. Malik* & S. Saif, On the solvability of direct and inverse problems for a generalized diffusion equation. Physica Scripta, 98, no. 12 (2023): 125221. https://doi.org/10.1088/1402-4896/ad03c5
11. Asim Ilyas, S. A. Malik* & S. Saif, Recovering Source Term and Temperature Distribution for Nonlocal Heat Equation, Applied Mathematics and Computation, 439, (2023): 127610. https://doi.org/10.1016/j.amc.2022.127610
12. K. Suhaib, Asim Ilyas & S. A. Malik*, On the inverse problems for a family of integro-differential equations, Mathematical Modelling and Analysis, 28, no. 2 (2023): 255-270. https://doi.org/10.3846/mma.2023.16139
13. Asim Ilyas & S. A. Malik*, An inverse source problem for anomalous diffusion equation with generalized fractional derivative in time, Acta Applicandae Mathematicae, 181, no. 1 (2022): 15. https://doi.org/10.1007/s10440-022-00532-8
14. K. Suhaib, S.A. Malik* & Asim Ilyas, Existence and uniqueness results for a multi-parameters nonlocal diffusion equation, Reports on Mathematical Physics, 90, no. 2 (2022): 203-219. https://doi.org/10.1016/S0034-4877(22)00066-0
15. Asim Ilyas, S. A. Malik* & S. Saif, Inverse problems for a multi-term time fractional evolution equation with an involution, Inverse Problems in science and engineering, 29, 2021, 3377-3405. https://doi.org/10.1080/17415977.2021.2000606
16. S. A. Malik*, Asim Ilyas & A. Samreen, Simultaneous determination of a source term and diffusion concentration for a multi-term space-time fractional diffusion equation, Mathematical Modelling and Analysis, 26, Issue 3, 2021, 411-431. https://doi.org/10.3846/mma.2021.11911
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