Open AccessAn analytic study of the fractional order model of HIV-1 virus and CD4+ T-cells using adomian method
Author(s) -
Kamel AlKhaled,
Maha Yousef
Publication year - 2021
Publication title -
international journal of power electronics and drive systems/international journal of electrical and computer engineering
Language(s) - English
Resource type - Journals
eISSN - 2722-2578
pISSN - 2722-256X
DOI - 10.11591/ijece.v11i2.pp1460-1468
Subject(s) - adomian decomposition method , fractional calculus , mathematics , nonlinear system , order (exchange) , derivative (finance) , human immunodeficiency virus (hiv) , decomposition method (queueing theory) , term (time) , mathematical analysis , differential equation , physics , discrete mathematics , medicine , quantum mechanics , financial economics , economics , finance , family medicine
In this article, we study the fractional mathematical model of HIV-1 infection of CD4+ T-cells, by studying a system of fractional differential equations of first order with some 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) method was used to calculate an approximate solution for the system under study. 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.