Novel analytical techniques for HIV-1 infection of CD4 + T cells on fractional order in mathematical biology

M A Abdou; L Ouahid; J S Al Shahrani; S Owyed

doi:10.1007/s12648-022-02559-x

Novel analytical techniques for HIV-1 infection of CD4 + T cells on fractional order in mathematical biology

Indian J Phys Proc Indian Assoc Cultiv Sci (2004). 2023;97(8):2319-2325. doi: 10.1007/s12648-022-02559-x. Epub 2023 Apr 21.

Authors

M A Abdou¹, L Ouahid¹, J S Al Shahrani², S Owyed²

Affiliations

¹ Physics Department, College of Science, University of Bisha, P.O. Box 344, Bisha, 61922 Kingdom of Saudi Arabia.
² Mathematics Department, College of Science, University of Bisha, P.O. Box 344, Bisha, 61922 Kingdom of Saudi Arabia.

Abstract

In this research, we present an analytical analysis of HIV-1 infection of CD4 + T cells with a conformable derivative model (CDM) in biology. An improved $(Υ^{'} / Υ)$ -expansion method is used to investigate this model analytically to construct a new exact traveling wave solution, namely, exponential function, trigonometric function, and the hyperbolic function, which can be further studied for more (FNEE) fractional nonlinear evolution equations in biology. Also, we provide some graphs in 2D plots that demonstrate how accurate the results will be produced using analytical approaches.

Keywords: FNEE; HIV-1 infection of CD4 + T cells (CFM) biology model; Improved $(Υ^{'} / Υ)$ -expansion method.

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