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Pushpendra Kumar

Pushpendra Kumar
Pushpendra Kumar
 
PhD (Mathematics), National Institute of Technology Puducherry

Contact Details

 
# 4109, FB-4, DAU, Gandhinagar, Gujarat, India – 382007
 
https://scholar.google.com/citations?user=qKRnDacAAAAJ&hl=en

Biography

Dr. Pushpendra Kumar is a dedicated researcher and academic specializing in fractional calculus, mathematical modeling, numerical analysis, and neural networks. He has worked as a postdoctoral researcher at Jeonbuk National University, South Korea. He has also served as a visiting professor at Istanbul Okan University, Turkey; as a research associate at Near East University, Cyprus; and as a research professor at the University of Johannesburg, South Africa, reflecting his global academic footprint. 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 from the International Mathematical Union (Germany) and London Mathematical Society. He has published more than 100 research papers in reputed international journals and has edited a book entitled “Recent Developments in Fractional Calculus: Theory, Applications, and Numerical Simulations.”

Specialization

Fractional Calculus, Mathematical Modeling, Numerical Analysis, and Neural Networks

Publications

Selected Publications: 10 (Citations: 2790, h-index: 30) Total 101 papers can be accessed in his researcher index, such as Google Scholar.

  • Pushpendra Kumar, Tae H. Lee, and Vedat Suat Erturk. "A fractional-order multi-delayed bicyclic crossed neural network: Stability, bifurcation, and numerical solution." Neural Networks (2025): 107436. https://doi.org/10.1016/j.neunet.2025.107436
  • Pushpendra Kumar, Tae H. Lee, and Vedat Suat Erturk. "A novel fractional-order neutral-type two-delayed neural network: Stability, bifurcation, and numerical solution." Mathematics and Computers in Simulation 232 (2025): 245-260. https://doi.org/10.1016/j.matcom.2025.01.001
  • Pushpendra Kumar, Tae H. Lee, and Vedat Suat Erturk. "A novel two-delayed tri-neuron neural network with an incomplete connection." Nonlinear Dynamics 112 (2024): 20269-20293. https://doi.org/10.1007/s11071-024-10066-3
  • Pushpendra Kumar, Tae H. Lee, and Vedat Suat Erturk. "A novel fractional-order cascade tri-neuron Hopfield neural network: stability, bifurcations, and chaos." Qualitative Theory of Dynamical Systems 23 (2024): 236. https://doi.org/10.1007/s12346-024-01096-8
  • Pushpendra Kumar, V. Govindaraj, and Vedat Suat Erturk. "A novel mathematical model to describe the transmission dynamics of tooth cavity in the human population." Chaos, Solitons & Fractals 161 (2022): 112370. https://doi.org/10.1016/j.chaos.2022.112370
  • Pushpendra Kumar, Vedat Suat Erturk, Marina Murillo-Arcila, and Charis Harley. "Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid." International Journal of Nonlinear Sciences and Numerical Simulation 24, no. 6 (2022): 2089-2111. https://doi.org/10.1515/ijnsns-2021-0278
  • Pushpendra Kumar. “A nonlinear mathematical model to describe the transmission dynamics of the citrus canker epidemic." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 0 (2025): 1-13. https://doi.org/10.36922/ijocta.1507
  • Pushpendra Kumar. "A new fractional-order model for defining the dynamics of ending student strikes at a university." Boletín de la Sociedad Matemática Mexicana 30, no. 3 (2024): 91. https://doi.org/10.1007/s40590-024-00667-8
  • Pushpendra Kumar, and Vedat Suat Erturk. "A fractional-order improved FitzHugh-Nagumo neuron model." Chinese Physics B 34 (2025): 018704. https://doi.org/10.1088/1674-1056/ad8a46
  • Pushpendra Kumar, Vedat Suat Erturk, Marina Murillo-Arcila, and V. Govindaraj. "A new form of L1-Predictor-Corrector scheme to solve multiple delay-type fractional order systems with the example of a neural network model." Fractals 31, no. 4 (2023): 2340043. https://doi.org/10.1142/S0218348X23400431

Teaching

  • Differential Equations; B.Tech. (MEC) 1st year, 2023, NIT Puducherry
  • Transforms and Complex Analysis; B.Tech. (ECE) 2nd year, 2022, NIT Puducherry
  • Differential Equations and Laplace Transforms; B.Tech. (EEE) 1st year, 2022, NIT Puducherry
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