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

[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.

[学科分类] 航空航天科学

[关键词] Fixed point theory;Homotopy analysis transform;Numerical simulation;Rubella disease model;The Caputo–Fabrizio derivative