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

Autor: Murugesan Sivashankar, Sriramulu Sabarinathan, Vediyappan Govindan, Unai Fernandez-Gamiz, Samad Noeiaghdam
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 2, Pp 2720-2735 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023143?viewType=HTML
Popis: 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.
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