Dr. RISHI KUMAR PANDEY

@modyuniversity.ac.in

Assistant Professor
Mody University of Science and Technology

RESEARCH INTERESTS

Fractional Calculus, Numerical Analysis, Partial Differential Equations
139

Scholar Citations

6

Scholar h-index

4

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Solution of Time Fractional Fisher’s Equation via Perturbation Iteration Sumudu Transform Method
    HK Mishra, RK Pandey
    Proceedings of the National Academy of Sciences, India Section A: Physical … , 2026
    2026.0
  • Space-time fractional dynamics in Hamilton-Jacobi-Bellman model: a computational study
    RK Pandey, KS Nisar
    Journal of Applied Mathematics and Computing 72 (1), 1-31 , 2026
    2026.0
  • Modeling and analysis of fascioliasis disease with Katugampola fractional derivative: a memory-incorporated epidemiological approach
    RK Pandey, KS Nisar
    Scientific Reports 15 (1), 37849 , 2025
    2025.0
    Citations: 2
  • SOLUTION OF TIME-FRACTIONAL BLACK–SCHOLES EQUATIONS VIA HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD
    H Gao, RK Pandey, RK Lodhi, H Jafari
    Fractals 33 (06), 2540110 , 2025
    2025.0
    Citations: 2
  • Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform
    RK Pandey, KS Nisar
    Partial Differential Equations in Applied Mathematics 12, 100963 , 2024
    2024.0
    Citations: 2
  • Prediction of Cricket Ball Movement Using Navier-Stokes Equations in Computational Fluid Dynamics
    RK Pandey, AK Digalwar
    Conference on Fluid Mechanics and Fluid Power, 519-531 , 2023
    2023.0
  • Industry 4.0 Implementation: Evidence from Indian Industries
    AK Digalwar, SR Singh, R Pandey, A Sharma
    IFIP Advances in Information and Communication Technology 699, 23–34 , 2023
    2023.0
    Citations: 4
  • Modeling of Cricket Ball Flight Using Navier–Stokes Equations
    RK Pandey, AK Digalwar
    International Conference on Sports Engineering, 125-146 , 2023
    2023.0
  • A semi–analytical study of diffusion type multi–term time fractional partial differential equation
    RK Pandey, HK Mishra
    TWMS Journal Of Applied And Engineering Mathematics , 2022
    2022.0
    Citations: 1
  • The numerical solution of time fractional Kuramoto-Sivashinsky equations via homotopy analysis fractional Sumudu transform method
    RK Pandey, HK Mishra
    Mathematics in Engineering, Science and Aerospace 12 (3), 863-882 , 2021
    2021.0
    Citations: 8
  • Time-fractional nonlinear dispersive type of the Zakharov–Kuznetsov equation via HAFSTM
    HK Mishra, RK Pandey
    Proceedings of the National Academy of Sciences, India Section A: Physical … , 2021
    2021.0
    Citations: 7
  • HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD FOR FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATIONS Thesis submitted in fulfillment of the requirements
    RK PANDEY
    JAYPEE UNIVERSITY OF ENGINEERING AND TECHNOLOGY , 2018
    2018.0
  • Numerical simulation for solution of space–time fractional telegraphs equations with local fractional derivatives via HAFSTM
    RK Pandey, HK Mishra
    New Astronomy 57, 82-93 , 2017
    2017.0
    Citations: 21
  • Homotopy analysis Sumudu transform method for time—fractional third order dispersive partial differential equation
    RK Pandey, HK Mishra
    Advances in Computational Mathematics 43 (2), 365-383 , 2017
    2017.0
    Citations: 61
  • Semi-analytic numerical method for solution of time-space fractional heat and wave type equations with variable coefficients
    RK Pandey, HK Mishra
    Open Physics 15 (1), 74-86 , 2017
    2017.0
    Citations: 11
  • Numerical Modelling For time fractional nonlinear partial differential equation by Homotopy Analysis Fractional Sumudu Transform Method
    RKPHK Mishra
    Global Journal of Pure and Applied Mathematics 11 (6), 4975-4996 , 2015
    2015.0
    Citations: 5
  • Numerical Simulation of Time-fractional Fourth Order Differential Equations via Homotopy Analysis Fractional Sumudu Transform Method
    RKP Hradyesh Kumar Mishra
    American Journal of Numerical Analysis 3 (3), 52-64 , 2015
    2015.0
    Citations: 15
  • Duality for a Control Problem Involving Support Functions
    I Husain, AR Shah, RK Pandey
    Applied Mathematics 5 (21), 3525 , 2014
    2014.0
  • University of Allahabad, Allahabad
    KS UPADHYAYA, RK PANDEY, M AMBAR
    Proceedings of the National Academy of Sciences, India: Section A. 43, 331 , 1973
    1973.0
  • Homotopy Analysis Fractional Sumudu Transform Method for Semi-analytic Solution of 2-D Time-Fractional Black–Scholes Equations
    RK Pandey, RK Lodhi, KS Nisar, O Moaaz, HM Ali

MOST CITED SCHOLAR PUBLICATIONS

  • Homotopy analysis Sumudu transform method for time—fractional third order dispersive partial differential equation
    RK Pandey, HK Mishra
    Advances in Computational Mathematics 43 (2), 365-383 , 2017
    2017.0
    Citations: 61
  • Numerical simulation for solution of space–time fractional telegraphs equations with local fractional derivatives via HAFSTM
    RK Pandey, HK Mishra
    New Astronomy 57, 82-93 , 2017
    2017.0
    Citations: 21
  • Numerical Simulation of Time-fractional Fourth Order Differential Equations via Homotopy Analysis Fractional Sumudu Transform Method
    RKP Hradyesh Kumar Mishra
    American Journal of Numerical Analysis 3 (3), 52-64 , 2015
    2015.0
    Citations: 15
  • Semi-analytic numerical method for solution of time-space fractional heat and wave type equations with variable coefficients
    RK Pandey, HK Mishra
    Open Physics 15 (1), 74-86 , 2017
    2017.0
    Citations: 11
  • The numerical solution of time fractional Kuramoto-Sivashinsky equations via homotopy analysis fractional Sumudu transform method
    RK Pandey, HK Mishra
    Mathematics in Engineering, Science and Aerospace 12 (3), 863-882 , 2021
    2021.0
    Citations: 8
  • Time-fractional nonlinear dispersive type of the Zakharov–Kuznetsov equation via HAFSTM
    HK Mishra, RK Pandey
    Proceedings of the National Academy of Sciences, India Section A: Physical … , 2021
    2021.0
    Citations: 7
  • Numerical Modelling For time fractional nonlinear partial differential equation by Homotopy Analysis Fractional Sumudu Transform Method
    RKPHK Mishra
    Global Journal of Pure and Applied Mathematics 11 (6), 4975-4996 , 2015
    2015.0
    Citations: 5
  • Industry 4.0 Implementation: Evidence from Indian Industries
    AK Digalwar, SR Singh, R Pandey, A Sharma
    IFIP Advances in Information and Communication Technology 699, 23–34 , 2023
    2023.0
    Citations: 4
  • Modeling and analysis of fascioliasis disease with Katugampola fractional derivative: a memory-incorporated epidemiological approach
    RK Pandey, KS Nisar
    Scientific Reports 15 (1), 37849 , 2025
    2025.0
    Citations: 2
  • SOLUTION OF TIME-FRACTIONAL BLACK–SCHOLES EQUATIONS VIA HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD
    H Gao, RK Pandey, RK Lodhi, H Jafari
    Fractals 33 (06), 2540110 , 2025
    2025.0
    Citations: 2
  • Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform
    RK Pandey, KS Nisar
    Partial Differential Equations in Applied Mathematics 12, 100963 , 2024
    2024.0
    Citations: 2
  • A semi–analytical study of diffusion type multi–term time fractional partial differential equation
    RK Pandey, HK Mishra
    TWMS Journal Of Applied And Engineering Mathematics , 2022
    2022.0
    Citations: 1
  • Solution of Time Fractional Fisher’s Equation via Perturbation Iteration Sumudu Transform Method
    HK Mishra, RK Pandey
    Proceedings of the National Academy of Sciences, India Section A: Physical … , 2026
    2026.0
  • Space-time fractional dynamics in Hamilton-Jacobi-Bellman model: a computational study
    RK Pandey, KS Nisar
    Journal of Applied Mathematics and Computing 72 (1), 1-31 , 2026
    2026.0
  • Prediction of Cricket Ball Movement Using Navier-Stokes Equations in Computational Fluid Dynamics
    RK Pandey, AK Digalwar
    Conference on Fluid Mechanics and Fluid Power, 519-531 , 2023
    2023.0
  • Modeling of Cricket Ball Flight Using Navier–Stokes Equations
    RK Pandey, AK Digalwar
    International Conference on Sports Engineering, 125-146 , 2023
    2023.0
  • HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD FOR FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATIONS Thesis submitted in fulfillment of the requirements
    RK PANDEY
    JAYPEE UNIVERSITY OF ENGINEERING AND TECHNOLOGY , 2018
    2018.0
  • Duality for a Control Problem Involving Support Functions
    I Husain, AR Shah, RK Pandey
    Applied Mathematics 5 (21), 3525 , 2014
    2014.0
  • University of Allahabad, Allahabad
    KS UPADHYAYA, RK PANDEY, M AMBAR
    Proceedings of the National Academy of Sciences, India: Section A. 43, 331 , 1973
    1973.0
  • Homotopy Analysis Fractional Sumudu Transform Method for Semi-analytic Solution of 2-D Time-Fractional Black–Scholes Equations
    RK Pandey, RK Lodhi, KS Nisar, O Moaaz, HM Ali