International Journal of Engineering and Technology

In this paper, we have applied an accurate and efficient homotopy analysis method (HAM) to find the approximate/analytical solutions for space and time fractional reaction- diffusion equations arising in mathematical chemistry. The method provides solutions in rapid convergence series with computable terms. To the best of our knowledge, until now there is no rigorous HAM solutions have been reported for the space and time fractional reaction-diffusion equations (FRDEs). Some numerical examples are presented to demonstrate the validity and applicability of the method. The power of the manageable method is confirmed. Moreover, the use of HAM is found to be accurate, efficient, simple, flexible and less computation cost.