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Mathematics
India
2026

D-Index & Metrics

Mathematics

D-Index
56
Citations
9601
World Ranking
748
National Ranking
6

Research.com Recognitions

  • 2026 - Research.com Mathematics in India Leader Award
  • 2018 - Fellow of the American Society of Mechanical Engineers

Best Publications

  • Fractional-order Legendre functions for solving fractional-order differential equations

    S. Kazem;S. Abbasbandy;Sunil Kumar

  • A theoretical study of the Caputo-Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control

    Hakimeh Mohammadi;Sunil Kumar;Shahram Rezapour;Shahram Rezapour;Sina Etemad

  • A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

    Behzad Ghanbari;Behzad Ghanbari;Sunil Kumar;Ranbir Kumar

  • A new analytical modelling for fractional telegraph equation via Laplace transform

    Sunil Kumar

  • Chaotic behaviour of fractional predator-prey dynamical system

    Sunil Kumar;Ranbir Kumar;Carlo Cattani;Bessem Samet

  • A new collocation-type method for Hammerstein integral equations

    Sunil Kumar;Ian H. Sloan

  • Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

    Sunil Kumar;Amit Kumar;Dumitru Baleanu

  • Similarities in a fifth-order evolution equation with and with no singular kernel

    Emile F. Doungmo Goufo;Sunil Kumar;S.B. Mugisha

  • An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets

    Sunil Kumar;Ali Ahmadian;Ranbir Kumar;Devendra Kumar

  • A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

    Sunil Kumar;Ajay Kumar;Bessem Samet;J.F. Gómez-Aguilar

  • A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

    Sunil Kumar;Ranbir Kumar;M. S. Osman;Bessem Samet

  • Analytical solution of fractional Navier–Stokes equation by using modified Laplace decomposition method

    Sunil Kumar;Deepak Kumar;Saeid Abbasbandy;M.M. Rashidi;M.M. Rashidi

  • Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel

    M. M. Rashidi;A. Hosseini;I. Pop;S. Kumar

  • New analytical method for gas dynamics equation arising in shock fronts

    Sunil Kumar;Mohammad Mehdi Rashidi;Mohammad Mehdi Rashidi

  • A fractional model for propagation of classical optical solitons by using nonsingular derivative

    P. Veeresha;D. G. Prakasha;Sunil Kumar

  • A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force

    Sunil Kumar;Kottakkaran Sooppy Nisar;Ranbir Kumar;Carlo Cattani

  • A robust study on 2019-nCOV outbreaks through non-singular derivative

    Muhammad Altaf Khan;Saif Ullah;Sunil Kumar

  • Numerical investigations on COVID-19 model through singular and non-singular fractional operators

    Sunil Kumar;Sunil Kumar;R. P. Chauhan;Shaher Momani;Shaher Momani;Samir Hadid

  • Generalization of Caputo-Fabrizio fractional derivative and applications to electrical circuits

    Amal Alshabanat;Mohamed Jleli;Sunil Kumar;Bessem Samet

  • Numerical computation of fractional Black–Scholes equation arising in financial market

    Sunil Kumar;Devendra Kumar;Jagdev Singh

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