Recent Developments in Fractional Calculus: Theory, Applications, and Numerical Simulations

Dr Lakhveer Kaur is an associate professor at Department of Mathematics, Jaypee Institute of Information Technology, India with H Index 24. She has been awarded with Institute of Physics (IOP) Trusted Reviewer Status in 2023. Most significantly, she has been listed in well reputed "World Top 2% Scientists-2023" announced by Elsevier and Stanford University, United States, from last four years in row 2024, 2023, 2022, 2021. Also, she has been awarded with Most Cited Article Award by IOP (Institute of Physics), using citations recorded in Web of Science in 2021. She is handling a research project based on Mathematical Modelling, funded by National Board for Higher Mathematics (NBHM) DAE, Govt. of India as Principal Investigator.

Dr Pushpendra Kumar is a dedicated researcher and academic specializing in fractional calculus, mathematical modeling, numerical analysis, and neural networks. Currently a postdoctoral researcher at Jeonbuk National University, South Korea, his work primarily focuses on fractional-order control systems and their diverse applications. He also served as a visiting professor at Istanbul Okan University and a research professor at the University of Johannesburg, reflecting his global academic footprint. Dr. Kumar earned his Ph.D. from the National Institute of Technology Puducherry, India, with a thesis on Caputo-type fractional differential equations. Recognized among the "World’s Top 2% Scientists" by Elsevier and Stanford University in 2023 and 2024, Dr. Kumar has also been a recipient of the prestigious IMU Breakout Graduate Fellowship.