Open Access Open Access  Restricted Access Subscription or Fee Access

Numerical Solution of Fractional Differential Equation in a Model of HIV Infection of CD4+T Cells

E. Sefidgar, E. Çelik, B. Shiri


The Laplace transform provides a powerful technique for solving linear fractional differential equations, but for solving the nonlinear case it can not be used alone. However, we can combine it with the Adomian decomposition method for solving nonlinear equations. In this paper, we solve the nonlinear system of fractional differential equations which appear in a model of HIV infection of CD4+T cells. We propose the Laplace Adomian method for solving this system. The numerical examples shows the effectiveness and efficiency of the proposed method.


Laplace decomposition method, nonlinear fractional differential equation, model of HIV infection of CD4+T cells.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.