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

Sumati Kumari Panda (), Abdon Atangana () and Thabet Abdeljawad
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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

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-23

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.

Keywords: Fractional Integral Operators; COVID-19 Model; Fixed-Point Method; Fuzzy Mapping (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402149

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