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Research Article | Open Access

Stability analysis of COVID-19 outbreak using Caputo-Fabrizio fractional differential equation

Murugesan Sivashankar1, Sriramulu Sabarinathan1, Vediyappan Govindan2, Unai Fernandez-Gamiz3, Samad Noeiaghdam4( )
Department of Mathematics, SRM Institute of Science & Technology, Kattankulthur-603 203, Tamil Nadu, India
Department of Mathematics, DMI St John The Baptist University Central Mangochi-409, Central Africa, Malawi
Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain
Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk, 454080, Russia
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Abstract

The main aim of this paper is to construct a mathematical model for the spread of SARS-CoV-2 infection. We discuss the modified COVID-19 and change the model to fractional order form based on the Caputo-Fabrizio derivative. Also several definitions and theorems of fractional calculus, fuzzy theory and Laplace transform are illustrated. The existence and uniqueness of the solution of the model are proved based on the Banach's unique fixed point theory. Moreover Hyers-Ulam stability analysis is studied. The obtained results show the efficiency and accuracy of the model.

Keywords

Hyers-Ulam stabilityvariable Caputo-Fabrizio fractional derivativeBanach fixed point theoremunit step functionexistence and uniqueness
CLC number: 26A33, 34A08, 65L07, 92D25, 34K20

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 2720-2735
DOI: 10.3934/math.2023143

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Cite this article:
Sivashankar M, Sabarinathan S, Govindan V, et al. Stability analysis of COVID-19 outbreak using Caputo-Fabrizio fractional differential equation. AIMS Mathematics, 2023, 8(2): 2720-2735. https://doi.org/10.3934/math.2023143

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Received: 31 July 2022
Revised: 17 September 2022
Accepted: 08 October 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)