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

被引：155

作者：

Baleanu, Dumitru ^{[1
,2
,5
]}

Mohammadi, Hakimeh ^{[3
]}

Rezapour, Shahram ^{[4
,5
]}

机构：

[1] Cankaya Univ, Dept Math, Ankara, Turkey

[2] Inst Space Sci, Bucharest, Romania

[3] Islamic Azad Univ, Dept Math, Miandoab Branch, Miandoab, Iran

[4] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Fixed point; Homotopy analysis method; Mathematical model; Numerical simulation; Caputo-Fabrizio derivative; SUMUDU TRANSFORM;

D O I：

10.1186/s13662-020-02762-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：27

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