Optimal solution of a fractional epidemic model of COVID-19

Hossein Hassani; Praveen Agarwal; Zakieh Avazzadeh; José António Tenreiro Machado; S Mehrabi; Eskandar Naraghirad

Hossein Hassani Ton Duc Thang University
Praveen Agarwal
Zakieh Avazzadeh
José António Tenreiro Machado
S Mehrabi Department of Internal Medicine, Shiraz University of Medical Sciences, Shiraz, Iran
Eskandar Naraghirad

Abstract

This article presents a new strategy for solving the fractional epidemic model of COVID-19 (FEMC-19) in Italy. First a new set of basis functions is proposed to deal with the solutions in the system of FEMC-19. For that purpose the generalized Genocchi polynomials and their operational matrices are adopted. The problem is transformed into a system of algebraic equations with unknown coefficients and parameters. Second, the Lagrange multipliers are employed to approximate the coefficients and parameters. Additionaly, the convergence is discussed. A limited number of basis functions leads to satisfactory results. Numerical examples confirm the effectiveness and performance of the technique.