Approximate analytical solutions of distributed order fractional Riccati differential equation

Abstract

In this paper, the combined Laplace transform and new homotopy perturbation method is employed for solving a special class of the distributed order fractional Riccati equation. To illustrate the ability and reliability of the method some examples have been provided. The results obtained by the proposed method show that the approach is very efficient, simple and can be applied to other nonlinear problems. Keywords: Homotopy perturbation method, Laplace transform, Fractional, Riccati equation, Distributed order