Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator

Mati ur Rahman, Saeed Ahmad, R.T. Matoog, Nawal A. Alshehri and Tahir Khan

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this article we study a fractional-order mathematical model describing the spread of the new coronavirus (COVID-19) under the Caputo-Fabrizio sense. Exploiting the approach of fixed point theory, we compute existence as well as uniqueness of the related solution. To investigate the exact solution of our model, we use the Laplace Adomian decomposition method (LADM) and obtain results in terms of infinite series. We then present numerical results to illuminate the efficacy of the new derivative. Compared to the classical order derivatives, our obtained results under the new notion show better results concerning the novel coronavirus model.

Keywords: COVID-19; Fractional epidemic model; Caputo-Fabrizio operator; Existence and uniqueness; Numerical simulations (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004756

DOI: 10.1016/j.chaos.2021.111121

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