"Numerical Treatment for Solving the Fractional Two-Group Influenza Mod" by Nasser Hassan Sweilam, Seham Mahyoub AL−Mekhlafi et al.

Progress in Fractional Differentiation & Applications

Article Title

Numerical Treatment for Solving the Fractional Two-Group Influenza Model

Authors

Nasser Hassan Sweilam, Department of Mathematics, Faculty of Science, Cairo University, Giza, EgyptFollow
Seham Mahyoub AL−Mekhlafi
Ahmed Nasser Hassan

Author Country (or Countries)

Egypt

Abstract

In this article, a general model for Influenza of two groups is presented as a fractional order model. The fractional derivatives for this model which consist of eight differential equations are defined in the sense of Caputo definition. To obtain an efficient numerical method, the fraction order derivatives are approximated by the shifted Jacobi polynomials. The proposed scheme reduces the solution of the main problem to the solution of a system of nonlinear algebraic equations. Comparative studies between the proposed method and both the fourth-order Runge-Kutta method and the generalized Euler method are done.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/040405

Recommended Citation

Hassan Sweilam, Nasser; Mahyoub AL−Mekhlafi, Seham; and Nasser Hassan, Ahmed (2018) "Numerical Treatment for Solving the Fractional Two-Group Influenza Model," Progress in Fractional Differentiation & Applications: Vol. 4: Iss. 4, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/040405
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol4/iss4/5

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