On nonlinear fractional KleinGordon equation

Khalili Golmankhaneh A., Golmankhaneh A. K., Baleanu D.

Signal Processing, vol.91, no.3, pp.446-451, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.sigpro.2010.04.016
  • Journal Name: Signal Processing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.446-451
  • Keywords: Caputo fractional derivative, Fractional Klein Gordon, Homotopy perturbation method, Iteration method, Numerical algorithm
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy perturbation method has been successively applied for finding approximate analytical solutions of the fractional nonlinear KleinGordon equation can be used as numerical algorithm. The behavior of solutions and the effects of different values of fractional order α are shown graphically. Some examples are given to show ability of the method for solving the fractional nonlinear equation. © 2010 Elsevier B.V. All rights reserved.