Optimal solution of a fractional epidemic model of COVID-19

  • 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


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.