Dr. Ajay Kumar | Numerical Analysis | Indian Institute of Technology Kanpur
Post Doctoral | Indian Institute of Technology Kanpur | India
Dr. Ajay Kumar is a Postdoctoral Fellow in the Department of Mathematics and Statistics at the Indian Institute of Technology Kanpur, specializing in fractional calculus, nonlinear dynamics, numerical analysis, and mathematical modeling of disease and ecological systems. He earned his Ph.D. in Mathematics with a focus on fractional calculus from the National Institute of Technology Jamshedpur, following an M.Sc.-Tech in Mathematics and Computing from Jamia Millia Islamia and a B.Sc. in Physics, Chemistry, and Mathematics from CCS University, Meerut. Before joining IIT Kanpur, he served as an Assistant Professor at JECRC University, Jaipur, where he contributed to academic instruction and research mentorship. Dr. Kumar has an impressive publication record in high-impact journals such as Chaos, Solitons & Fractals, Results in Physics, Mathematics and Computers in Simulation, and Journal of Computational Science, reflecting his strong engagement in the study of fractional-order dynamical systems, eco-epidemiological modeling, and chaos theory. His research collaborations span internationally with scholars from Saudi Arabia, Egypt, and India, demonstrating a broad and interdisciplinary research network. He has also presented his work at multiple national and international conferences and participated in workshops and training programs that enhance computational and analytical expertise. Dr. Kumar’s academic excellence is supported by national-level qualifications such as GATE and IIT-JAM, alongside prestigious research fellowships including the Junior and Senior Research Fellowships from NIT Jamshedpur. With over 500 citations and an H-index of 10, his contributions significantly advance the application of fractional calculus in complex system modeling.
Profiles: ORCID | Google Scholar
Featured Publications
1. Kumar S., Kumar A., Samet B., Gómez-Aguilar J.F., Osman M.S., A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Chaos, Solitons & Fractals, 2020, Citations: 222.
2. Kumar S., Kumar A., Samet B., Dutta H., A study on fractional host–parasitoid population dynamical model to describe insect species. Numerical Methods for Partial Differential Equations, 2021, Citations: 187.
3. Kumar A., Kumar S., A study on eco-epidemiological model with fractional operators. Chaos, Solitons & Fractals, 2022, Citations: 43.
4. Kumar S., Kumar A., Jleli M., A numerical analysis for fractional model of the spread of pests in tea plants. Numerical Methods for Partial Differential Equations, 2022, Citations: 27.
5. Alzaid S.S., Kumar A., Kumar S., Alkahtani B.S.T., Chaotic behavior of financial dynamical system with generalized fractional operator. Fractals, 2023, Citations: 18.