A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative

Advances in Difference Equations

article

Baleanu, Dumitru¹  Mohammadi, Hakimeh⁴  Rezapour, Shahram⁵ 

[1] Department of Mathematics, Cankaya University;Institute of Space Sciences;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Miandoab Branch, Islamic Azad University;Department of Mathematics, Azarbaijan Shahid Madani University

关键词: Fixed point;    Homotopy analysis method;    Mathematical model;    Numerical simulation;    Caputo–Fabrizio derivative;   

DOI  :  10.1186/s13662-020-02762-2

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We prove the existence of a unique solution and the stability of the iteration approach by using fixed point theory. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative.

【 授权许可】

CC BY