An analytic study of the fractional order model of hiv-1 virus and cd4+ t-cells using adomian decomposition method

Kamel Al-Khaled, Maha Yousef


In this paper, We introduce the fractional order to the HIV-1 infection of CD4 T-cells which consists of a system of ordinary differential equations with certain initial conditions. We study the changing effect of many parameters. The fractional derivative is described in the Caputo sense. The Adomian decomposition Method (Shortly, ADM) have been studied to find the approximate solution of the proposed system. The nonlinear term is dealt with the help of Adomian polynomials. Numerical results are presented with graphical justifications to show the accuracy of the proposed methods.


Approximate Solutions; Fractional Calculus; Adomian Decomposition; Laplace Transform; Fractional model for HIV; infection of CD4+ T-cells

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ISSN 2088-8708, e-ISSN 2722-2578