Numerical solutions and comparisons for nonlinear time fractional ito coupled system

Abstract

In this paper, the homotopy analysis method (HAM) are implemented to time fractional Ito coupled system (FIcS). The fractional derivatives are described Caputo sense. A comparison was also made between homotopy perturbation method (HPM) and HAM and the results show that the method is very effective. We also give a convergence theorem for time fractional Ito coupled system. © Copyright 2016 American Scientific Publishers All rights reserved.