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

Mati Ur Rahman; Saeed Ahmad; R T Matoog; Nawal A Alshehri; Tahir Khan

doi:10.1016/j.chaos.2021.111121

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

Chaos Solitons Fractals. 2021 Sep:150:111121. doi: 10.1016/j.chaos.2021.111121. Epub 2021 Jun 5.

Authors

Mati Ur Rahman¹, Saeed Ahmad², R T Matoog³, Nawal A Alshehri⁴, Tahir Khan^{2

5}

Affiliations

¹ Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road Shanghai P.R. China.
² Department of Mathematics, University of Malakand, Dir (L), Khyber Pakhtunkhwa, Pakistan.
³ Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia.
⁴ Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.
⁵ Department of Computing, Muscat College, Oman.

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; Caputo-Fabrizio operator; Existence and uniqueness; Fractional epidemic model; Numerical simulations.