APPLICATION OF HOMOTOPY PERTURBATION TRANSFORM METHOD TO LINEAR AND NON-LINEAR SPACE-TIME FRACTIONAL REACTION-DIFFUSION EQUATIONS

In this paper, we obtain the analytical solutions of linear and non-linear space-time fractional reaction-diffusion equations on a finite domain by the application of homotopy perturbation transform method (HPTM). The HPTM is a combined form of the Laplace transform method with the homotopy perturbation method. Some examples are also given. Numerical results show that the HPTM is easy to implement and accurate when applied to linear and non-linear space-time fractional reaction-diffusion equations.