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The Scientific World Journal
Volume 2014, Article ID 964643, 6 pages
Research Article

Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation

1Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China
2Department of Basic Causes, Nanjing Institute of Technology, Nanjing 211167, China

Received 8 May 2014; Revised 24 July 2014; Accepted 27 July 2014; Published 4 September 2014

Academic Editor: Mustafa Inc

Copyright © 2014 Baojian Hong and Dianchen Lu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Based on He’s variational iteration method idea, we modified the fractional variational iteration method and applied it to construct some approximate solutions of the generalized time-space fractional Schrödinger equation (GFNLS). The fractional derivatives are described in the sense of Caputo. With the help of symbolic computation, some approximate solutions and their iterative structure of the GFNLS are investigated. Furthermore, the approximate iterative series and numerical results show that the modified fractional variational iteration method is powerful, reliable, and effective when compared with some classic traditional methods such as homotopy analysis method, homotopy perturbation method, adomian decomposition method, and variational iteration method in searching for approximate solutions of the Schrödinger equations.