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

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...

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Bibliographic Details
Published in:Advances in difference equations 2020-04, Vol.2020 (1), p.1-19, Article 184
Main Authors: Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram
Format: Article
Language:English
Subjects:
Analysis
Computer simulation
Difference and Functional Equations
Differential equations
Fixed point theory
Fixed points (mathematics)
Functional Analysis
Homotopy analysis transform
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical simulation
Ordinary Differential Equations
Partial Differential Equations
Rubella
Rubella disease model
The Caputo–Fabrizio derivative
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Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02614-z