文章基本信息

标题：Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem
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作者：Samaneh Soradi Zeid ; Mostafa Yousefi ; Ali Vahidian Kamyad 等
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2016
卷号：06
期号：02
页码：141-152
DOI：10.4236/ajcm.2016.62015
语种：English
出版社：Scientific Research Publishing
摘要：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.
关键词：Riemann-Liouville Derivative;Fractional HIV Model;Optimization Linear Programming;Discritezation