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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 752869, 14 pages
http://dx.doi.org/10.1155/2012/752869
Research Article

Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

1Department of Mathematics, Dezhou University, Dezhou 253023, China
2Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 30072, China

Received 11 November 2011; Revised 25 December 2011; Accepted 30 January 2012

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Yanqin Liu. 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.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • Łukasz Płociniczak, and Hanna Okrasińska, “Approximate self-similar solutions to a nonlinear diffusion equation with time-fractional derivative,” Physica D: Nonlinear Phenomena, 2013. View at Publisher · View at Google Scholar
  • Limei Yan, “Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method,” Abstract and Applied Analysis, 2013. View at Publisher · View at Google Scholar
  • Yanqin Liu, Fengsheng Xu, and Xiuling Yin, “Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform,” Abstract and Applied Analysis, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Yanqin Liu, and Limei Yan, “Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Li-Mei Yan, “Modified Homotopy Perturbation Method Coupled With Laplace Transform For Fractional Heat Transfer And Porous Media Equations,” Thermal Science, vol. 17, no. 5, pp. 1409–1414, 2013. View at Publisher · View at Google Scholar
  • M. A. Mohamed, and M. Sh. Torky, “Approximate Solution of Fractional Nonlinear Partial Differential Equations by the Legendre Multiwavelet Galerkin Method,” Journal of Applied Mathematics, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar