Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem

作     者：Samaneh Soradi Zeid Mostafa Yousefi Ali Vahidian Kamyad Samaneh Soradi Zeid;Mostafa Yousefi;Ali Vahidian Kamyad

作者机构：Department of Mathematics Faculty of Mathematics University of Sistan and Baluchestan Zahedan Iran National Iranian Oil Products Distribution Company (NIOPDC) Zahedan Region Zahedan Iran Department of Mathematics Ferdowsi University of Mashhad Mashhad Iran 

出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2016年第6卷第2期

页      面：141-152页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Riemann-Liouville Derivative Fractional HIV Model Optimization Linear Programming Discritezation 

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.