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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 202650, 6 pages
http://dx.doi.org/10.1155/2013/202650
Research Article

A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional Operators

1School of Mathematics and Statistics, Nanyang Normal University, Nanyang 4730 61, China
2Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, Turkey
3Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
4Institute of Space Sciences, Magurele, RO-077125 Bucharest, Romania
5Institute of Software Science, Zhengzhou Normal University, Zhengzhou 450044, China
6Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou 221008, China

Received 15 November 2012; Accepted 27 February 2013

Academic Editor: Syed Tauseef Mohyud-Din

Copyright © 2013 Yong-Ju Yang et al. 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 [8 citations]

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

  • Guang-Sheng Chen, “Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space,” Journal of Function Spaces and Applications, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Ai-Min Yang, Zeng-Shun Chen, H. M. Srivastava, and Xiao-Jun Yang, “Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators,” Abstract and Applied Analysis, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • Yong-Ju Yang, Dumitru Baleanu, and Xiao-Jun Yang, “Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method,” Advances in Mathematical Physics, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • Ya-Juan Hao, H. M. Srivastava, Hossein Jafari, and Xiao-Jun Yang, “Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates,” Advances in Mathematical Physics, vol. 2013, pp. 1–5, 2013. View at Publisher · View at Google Scholar
  • Yue Long, and Yu-Zhu Zhang, “The Yang-Fourier Transforms To Heat-Conduction In A Semi-Infinite Fractal B Ar,” Thermal Science, vol. 17, no. 3, pp. 707–713, 2013. View at Publisher · View at Google Scholar
  • Shu-Juan Yuan, and Shan-Shan Kong, “Reconstructive Schemes For Variational Iteration Method Within Yang-Laplace Transform With Application To Fractal Heat Conduction Problem,” Thermal Science, vol. 17, no. 3, pp. 715–721, 2013. View at Publisher · View at Google Scholar
  • Li Chen, Yang Zhao, Hossein Jafari, J. A. Tenreiro Machado, and Xiao-Jun Yang, “Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • E. M. E. Zayed, and K. A. E. Alurrfi, “The ()-Expansion Method and Its Applications to Find the Exact Solutions of Nonlinear PDEs for Nanobiosciences,” Mathematical Problems in Engineering, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar