A mathematical theoretical study of a particular system of Caputo–Fabrizio fractional differential equations for the Rubella disease model

被引：0
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作者：
Dumitru Baleanu
Hakimeh Mohammadi
Shahram Rezapour
机构：
[1] Cankaya University,Department of Mathematics
[2] Islamic Azad University,Department of Mathematics, Miandoab Branch
[3] Azarbaijan Shahid Madani University,Department of Mathematics
[4] China Medical University,Department of Medical Research, China Medical University Hospital
来源：
Advances in Difference Equations | / 2020卷
关键词：
Fixed point theory; Homotopy analysis transform; Numerical simulation; Rubella disease model; The Caputo–Fabrizio derivative; 34A08; 34A34; 35A20; 47H10;
D O I：
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摘要：
In this paper, we study the rubella disease model with the Caputo–Fabrizio fractional derivative. The mathematical solution of the liver model is presented by a three-step Adams–Bashforth scheme. The existence and uniqueness of the solution are discussed by employing fixed point theory. Finally some numerical simulations are showed to underpin the effectiveness of the used derivative.
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