A New Approximate Solution of Time-Fractional, Non-linear Schrodinger   Equations Using Fractional Reduced Differential Transformation
  This paper is concerned with an alternative analytical solution of time-fractional nonlinear Schrodinger equation and nonlinear coupled Schrodinger equation obtained by employing fractional reduced differential transform method. The proposed solutions are obtained in series form, converges to the exact solution very rapidly. These results are agreed well with the results obtained by using differential transform method, homotopy perturbation method, homotopy analysis method and Adomian decomposition method. However, the computations shows that the described method is easy to apply, and it needs small size of computation contrary to the existing above said methods. 
Brajesh Kumar Singh and Pramod Kumar
math.NA