文章基本信息

标题：Numerical Solution of Fractional-Order HIV Model Using Homotopy Method
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作者：Sami Aljhani ; Mohd Salmi Md Noorani ; A. K. Alomari 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2020
卷号：2020
页码：1-13
DOI：10.1155/2020/2149037
出版社：Hindawi Publishing Corporation
摘要：In this study, we construct a convergent algorithm for generating an approximate analytic solution for the fractional HIV infection of CD 4 + T cells with Atangana–Baleanu fractional derivatives in the Caputo sense. We compute the solution by utilizing the fractional homotopy analysis transform method (FHATM) and achieved a convergence region of the solution by employing an auxiliary parameter. Moreover, we apply a numerical scheme proposed by Toufik and Atangana for solving this kind of problem and compared with our results. A good agreement between the new algorithm and the numerical scheme is remarkable. The solution via the present algorithm can be obtained without any linearization or discretization which makes it reliable and easy to apply.