International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2511

Full Length Research Paper

Variational homotopy perturbation method for solving the generalized time-space fractional Schrödinger equation

A. M. S. Mahdy
  • A. M. S. Mahdy
  • Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
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A. S. Mohamed
  • A. S. Mohamed
  • Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
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A. A. H. Mtawa
  • A. A. H. Mtawa
  • Department of Mathematics, Faculty of Science, Benghize University, Almarj, Libya.
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  •  Received: 18 February 2015
  •  Accepted: 26 May 2015
  •  Published: 16 June 2015

Abstract

We suggest and analyze a technique by combining the variational iteration method and the homotopy perturbation method. This method is called the variational homotopy perturbation method. We use this method for solving Generalized Time-space Fractional Schrödinger equation. The fractional derivative is described in Caputo sense. The proposed scheme finds the solution without any discritization, transformation or restrictive assumptions. Several example is given to check the reliability and efficiency of the proposed technique.
 
Key words: Caputo derivative, variational iteration method, homotopy perturbation method, Schrödinger equation.