Abstract:
Sumudu decomposition method is used to construct the approximate analytical
solutions of time-fractional nonlinear Schrodinger equations with zero and nonzero
trapping potential. The Sumudu decomposition method is a combined form of the
Sumudu transform and the Adomian decomposition method. The fractional derivatives
are defined in the Caputo sense. The exact solutions of some nonlinear Schrodinger
equations are given as a special case of our approximate analytical solutions. The
computations show that the described method is easy to apply, and it needs smaller size
of computation as compared to the other existing methods. Further, the solutions are
derived in a convergent series form which shows the effectiveness of the method for
solving a wide variety of nonlinear fractional differential equations.
