Numerical Solution of Fractional-Order HIV Model Using Homotopy Method
Joint Authors
Noorani, Mohd Salmi Md.
Aljhani, Sami
Alomari, A. K.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this study, we construct a convergent algorithm for generating an approximate analytic solution for the fractional HIV infection of CD4+ 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.
American Psychological Association (APA)
Aljhani, Sami& Noorani, Mohd Salmi Md.& Alomari, A. K.. 2020. Numerical Solution of Fractional-Order HIV Model Using Homotopy Method. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1152868
Modern Language Association (MLA)
Aljhani, Sami…[et al.]. Numerical Solution of Fractional-Order HIV Model Using Homotopy Method. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1152868
American Medical Association (AMA)
Aljhani, Sami& Noorani, Mohd Salmi Md.& Alomari, A. K.. Numerical Solution of Fractional-Order HIV Model Using Homotopy Method. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1152868
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152868