Non-Perturbative Approximate Solution of Fractional Riccati Type Equation

Abstract

. In the present paper a non-perturbative approximate analytic solution is derived for the fractional Riccati type equation by using Adomian Decomposition Method (ADM). The decomposition series solution is very rapidly convergent, and only a few terms of the series solution leads to a very good approximation with the actual solution of the problem. The present method performs extremely well in terms of accuracy, efficiency and simplicity.