Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method

We construct an explicit and approximate solutions of fractional time-nonlinear fractional equations by using a new approach, namely, the reduced differential transform (RDTM) method. As a special cases, two models of fractional-time derivative of order α are used to find the solutions. The effect of the values of the parameter α on the behaviour of reduced differential transform (RDTM) method is investigated. The efficiency of the suggested algorithm is tested by using some numerical examples.