TITLE:
Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem
AUTHORS:
Samaneh Soradi Zeid, Mostafa Yousefi, Ali Vahidian Kamyad
KEYWORDS:
Riemann-Liouville Derivative, Fractional HIV Model, Optimization Linear Programming, Discritezation
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.6 No.2,
June
27,
2016
ABSTRACT: In
this paper, we provide a new approach to solve approximately a system of
fractional differential equations (FDEs). We extend this approach for
approximately solving a fractional-order differential equation model of HIV
infection of CD4+T cells with therapy effect. The
fractional derivative in our approach is in the sense of Riemann-Liouville. To
solve the problem, we reduce the system of FDE to a discrete optimization
problem. By obtaining the optimal solutions of new problem by minimization the
total errors, we obtain the approximate solution of the original problem. The
numerical solutions obtained from the proposed approach indicate that our
approximation is easy to implement and accurate when it is applied to a systems
of FDEs.