Math. Model. Nat. Phenom.
Volume 14, Number 3, 2019
Fractional order mathematical models in physical sciences
|Number of page(s)||19|
|Published online||18 April 2019|
Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative
Department of Mathematics, City University of Science and Information Technology,
2 E3MI, Departement de Mathematiques, FSTE, Université Moulay Ismail, BP.509 Boutalamine, 52000 Errachidia, Morocco.
3 Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Cankaya University Ankara, Ankara, Turkey.
* Corresponding author: firstname.lastname@example.org
Accepted: 19 November 2018
A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics. Therefore, the present work explores the HEV dynamics in fractional derivative. The Caputo–Fabriizo derivative is used to study the dynamics of HEV. First, the essential properties of the model will be presented and then describe the HEV model with CF derivative. Application of fixed point theory is used to obtain the existence and uniqueness results associated to the model. By using Adams–Bashfirth numerical scheme the solution is obtained. Some numerical results and tables for arbitrary order derivative are presented.
Mathematics Subject Classification: 92B05 / 34A08 / 26A33 / 97M10
Key words: Hepatitis E model / FDEs / CF derivative / fixed point theorem / numerical results
© EDP Sciences, 2019
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