Decomposition method for solving a system of coupled fractional-time nonlinear equations

The Adomian decomposition method (ADM) has been successively used to find the explicit and numerical solutions of the time fractional of a coupled nonlinear fractional equations. Four models of special interest with fractional time derivative of order alpha, 0 < alpha < 1 are considered and solved by means of ADM. The behaviour of Adomian solutions and the effects of different values of alpha are shown graphically. Numerical examples are tested to illustrate the pertinent feature of the proposed algorithm.