Sunil Kumar

Modeling and Simulation · Mathematical methods in the applied sciences · 2012–2021

A researcher in the Science corpus: 27 papers; trusts 51 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Modeling and Simulation — 323 citations into it; #177 of 2,105 by trust here, #98 by citations
• Numerical Analysis — 237 citations into it; #513 of 3,586 by trust here, #157 by citations
• Applied Mathematics — 107 citations into it; #3,780 of 7,620 by trust here, #1,522 by citations
• Statistical and Nonlinear Physics — 67 citations into it; #2,171 of 10,127 by trust here, #1,800 by citations
• Mechanics of Materials — 45 citations into it
• Biomedical Engineering — 27 citations into it
• Public Health, Environmental and Occupational Health — 25 citations into it; #1,735 of 2,368 by trust here, #1,029 by citations
• Mathematical Physics — 14 citations into it

Whom Sunil Kumar trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Abdon Atangana
2. Saeid Abbasbandy
3. Ji-Huan He
4. Shijun Liao
5. Ali Akgül
6. Kai Diethelm
7. Shaher Momani
8. Zaid M. Odibat
9. Anatoly A. Kilbas
10. Dumitru Băleanu

Who trusts Sunil Kumar overall

1. Behzad Ghanbari
2. M. Al‐Smadi
3. M. Abolbashari
4. Samad Noeiaghdam
5. Kottakkaran Sooppy Nisar
6. Navid Freidoonimehr
7. Ali H. Bhrawy
8. Mohammad Alaroud
9. K. Logeswari
10. Abdon Atangana

Papers from Sunil Kumar's perspective

Ordered by how strongly the researchers Sunil Kumar trusts endorse each paper. Same corpus, a different order for every researcher.

1. Fractional Differential Equations
2. Theory and Applications of Fractional Differential Equations
3. Local Fractional Integral Transforms and Their Applications
4. Analysis of Fractional Differential Equations
5. Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination? (Chaos, Solitons & Fractals)
6. Fractional Integrals and Derivatives: Theory and Applications
7. Solution of fractional differential equations by using differential transform method
8. A mathematical model for simulating the phase-based transmissibility of a novel coronavirus (Infectious Diseases of Poverty)
9. A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
10. Functional Fractional Calculus

Their papers

• A new financial chaotic model in Atangana-Baleanu stochastic fractional differential equations (2021) — 48 citations
• Chaotic behaviour of fractional predator-prey dynamical system (2020) — 257 citations
• A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force (2020) — 162 citations
• Similarities in a fifth-order evolution equation with and with no singular kernel (2020) — 196 citations
• Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method (2020) — 82 citations
• A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations (2020) — 84 citations
• A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators (2020) — 81 citations
• An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator (2020) — 170 citations
• Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits (2020) — 146 citations
• A fractional model for propagation of classical optical solitons by using nonsingular derivative (2020) — 168 citations
• A mathematical analysis of ongoing outbreak COVID‐19 in India through nonsingular derivative (2020) — 61 citations
• A study on fractional host–parasitoid population dynamical model to describe insect species (2020) — 166 citations
• A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods (2020) — 266 citations
• Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators (2020) — 179 citations
• A Robust Computational Algorithm of Homotopy Asymptotic Method for Solving Systems of Fractional Differential Equations (2019) — 87 citations
• A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay (2018) — 51 citations
• Higher order numerical approximation for time dependent singularly perturbed differential‐difference convection‐diffusion equations (2018) — 57 citations
• A study on the convergence conditions of generalized differential transform method (2017) — 53 citations
• Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves (2016) — 212 citations
• Analytical solution of fractional Navier–Stokes equation by using modified Laplace decomposition method (2014) — 168 citations