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

E. Sefidgar, E. Çelik, B. Shiri

Abstract



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.

Keywords


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

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