Stability analysis of COVID-19 outbreak using Caputo-Fabrizio fractional differential equation
Murugesan Sivashankar, S. Sabarinathan, Vediyappan Govindan, Unai Fernández‐Gámiz, Samad Noeiaghdam
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>
Topics & Concepts
MathematicsFractional calculusLaplace transformUniquenessStability (learning theory)Applied mathematicsFixed-point theoremCoronavirus disease 2019 (COVID-19)Derivative (finance)Differential equationCalculus (dental)Pure mathematicsMathematical analysisComputer scienceMedicineMachine learningDentistryDiseaseInfectious disease (medical specialty)Financial economicsEconomicsPathologyFractional Differential Equations SolutionsCOVID-19 epidemiological studiesAdvanced Control Systems Design