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

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 stability
• variable caputo-fabrizio fractional derivative
• banach fixed point theorem
• unit step function
• existence and uniqueness