Stability analysis of COVID-19 outbreak using Caputo-Fabrizio fractional differential equation-Reference-Cited by-同舟云学术

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

Published:2023 Issue:2 Volume:8 Page:2720-2735
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sivashankar Murugesan¹,Sabarinathan Sriramulu¹,Govindan Vediyappan²,Fernandez-Gamiz Unai³,Noeiaghdam Samad⁴

Affiliation:

1. Department of Mathematics, SRM Institute of Science & Technology, Kattankulthur-603 203, Tamil Nadu, India

2. Department of Mathematics, DMI St John The Baptist University Central Mangochi-409, Central Africa, Malawi

3. Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain

4. Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk, 454080, Russia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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