Numerical solutions of the fractional SIS epidemic model via a novel technique

Ali Khalouta\(^1\)
Laboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences, Ferhat Abbas Setif University 1, 19000 Setif, Algeria.
Abdelouahab Kadem
Laboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences, Ferhat Abbas Setif University 1, 19000 Setif, Algeria.
\(^{1}\)Corresponding Author: nadjibkh@yahoo.fr

Copyright © 2020 Ali Khalouta, Abdelouahab Kadem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: December, 2020

Abstract

This article introduces a novel technique called modified fractional Taylor series method (MFTSM) to find numerical solutions for the fractional SIS epidemic model. The fractional derivative is considered in the sense of Caputo. The most important feature of the MFTSM is that it is very effective, accurate, simple, and more computational than the methods found in literature. The validity and effectiveness of the proposed technique are investigated and verified through numerical example.

Keywords:

Fractional SIS epidemic model, Caputo fractional derivative, modified fractional Taylor series method, numerical solution.