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Inthis paper, we provide a new approach to solve approximately a system offractional differential equations FDEs. We extend this approach forapproximately solving a fractional-order differential equation model of HIVinfection of CD4+T cells with therapy effect. Thefractional derivative in our approach is in the sense of Riemann-Liouville. Tosolve the problem, we reduce the system of FDE to a discrete optimizationproblem. By obtaining the optimal solutions of new problem by minimization thetotal errors, we obtain the approximate solution of the original problem. Thenumerical solutions obtained from the proposed approach indicate that ourapproximation is easy to implement and accurate when it is applied to a systemsof FDEs.

KEYWORDS

Riemann-Liouville Derivative, Fractional HIV Model, Optimization Linear Programming, Discritezation

Cite this paper

Zeid, S. , Yousefi, M. and Kamyad, A. 2016 Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem. American Journal of Computational Mathematics, 6, 141-152. doi: 10.4236-ajcm.2016.62015.





Autor: Samaneh Soradi Zeid1, Mostafa Yousefi2, Ali Vahidian Kamyad3

Fuente: http://www.scirp.org/



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