Baleanu, DumitruBaleanu, DumitruMohammadi, HakimehRezapour, Shahram2021-01-282021-01-282020Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram (20209. "A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the Rubella disease model", Advances in Difference Equations, Vol. 2020, No. 1.1687-1847https://hdl.handle.net/20.500.12416/4483In 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.eninfo:eu-repo/semantics/openAccessFixed Point TheoryHomotopy Analysis TransformNumerical SimulationRubella Disease ModelThe Caputo-Fabrizio DerivativeArticle2020110.1186/s13662-020-02614-z