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Existence Results And Numerical Study On Novel Coronavirus 2019-Ncov/ Sars-Cov-2 Model Using Differential Operators Based On The Generalized Mittag-Leffler Kernel And Fixed Points

Author

Listed:
  • SUMATI KUMARI PANDA

    (Department of Mathematics, GMR Institute of Technology, Rajam 532 127, Andhra Pradesh, India)

  • ABDON ATANGANA

    (Institute for Groundwater Studies, University of the Free State, Bloemfontein 9300, South Africa)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia4Department of Medical Research, China Medical University, Taichung, Taiwan)

Abstract

The use of mathematical modeling in the exploration of epidemiological disorders has increased dramatically. Mathematical models can be used to forecast how viral infections spread, as well as to depict the likely outcome of an outbreak and to support public health measures. In this paper, we present useful ideas for finding existence of solutions of the novel coronavirus 2019-nCoV/ SARS-CoV-2 model via fractional derivatives by using fuzzy mappings. Three classes of fractional operators were considered including Atangana–Baleanu, Caputo–Fabrizio and Caputo. For each case, we introduce the fuzzination in the study of the existence of a system of solutions. A fresh numerical scheme was proposed for each scenario, and then numerical simulations involving various parameters of Atangana–Baleanu fractional-order were shown utilizing numerical solutions.

Suggested Citation

  • Sumati Kumari Panda & Abdon Atangana & Thabet Abdeljawad, 2022. "Existence Results And Numerical Study On Novel Coronavirus 2019-Ncov/ Sars-Cov-2 Model Using Differential Operators Based On The Generalized Mittag-Leffler Kernel And Fixed Points," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-23, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402149
    DOI: 10.1142/S0218348X22402149
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    Cited by:

    1. Panda, Sumati Kumari & Nagy, A.M. & Vijayakumar, Velusamy & Hazarika, Bipan, 2023. "Stability analysis for complex-valued neural networks with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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