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Academic Experts

Dr. Manish Kumar Bansal

Biography

Dr. Manish Kumar Bansal is an Assistant Professor Senior Grade at the Department of Mathematics, Jaypee Institute of Information Technology, Noida, India. He received his PhD degree from the Department of Mathematics, Malaviya National Institute of Technology (MNIT) Jaipur in 2018. He obtained his M.Sc. Tech degree in Mathematics from Central University of Rajasthan, Ajmer in 2012. He has more than 7 years of teaching and research experience.

His research areas of interest include Integral Transforms, Special Functions, Fractional Calculus. He has published over 40 research papers in reputed journals, book chapters and conference proceedings. Dr. Bansal is an active peer reviewer for several reputed journals, including Elsevier, Springer, and Willey, ensuring high-quality scholarly standards in the field of mathematical sciences. He is a life member of the SSFA. 

Research Highlights

His ongoing research is in the field of special functions, Integral Transform and Fractional Calculus. He has been generalizing many functions in the theory of special functions from several year. 

Areas of Interest
  • Fractional Differential Equations
  • Special Functions
  • Integral Transforms
Publications
  1. M. K. Bansal, Shivlal, D. Kumar, S. Kumar and J. Singh, “Fractional Differential Equation pertaining to a Integral operator involving the family of Incomplete H-functions in the kernel”, Math Meth Appl Sci.(Willey), vol. 47, pp. 10952-10963, 2024.
  2. H.M. Srivastava, M. K. Bansal and P. Harjule, “A Class of Fractional Integral Operators Involving A Certain Generalized Multi-Index Mittag-Leffler Function”, Ukrainian Mathematical Journal, vol. 75, no. 8, pp. 1096-1112, 2024.
  3. N. Jolly and M. K. Bansal, “Computable Solution of Fractional Kinetic Equations Associated with Incomplete ℵ-Functions and M-series”, Special Functions in Fractional Calculus and Engineering, H. Singh, H. M. Srivastava, R. K. Pandey(eds), CRC Press, pp. 94-107, 2023.
  4. N. Jolly and M.K. Bansal, “Several inequalities involving the generalized multi-index Mittag-Leffler functions” Palestine Journal of Mathematics, vol. 11, no. 2, pp. 290–298, 2022.
  5. M. K. Bansal, K. S. Nisar, J. Choi and D.  Kumar, “Generalized fractional operators and their image formulas” Journal of Computational Analysis and Applications, vol. 30, no. 2, pp. 222-235, 2022.