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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 372741, 6 pages
http://dx.doi.org/10.1155/2014/372741
Research Article

Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets

1College of Science, Hebei United University, Tangshan 063009, China
2College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China
3College of Metallurgy and Energy, Hebei United University, Tangshan 063009, China
4Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy
5School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, China
6Department of Mechanical Engineering, Bu-Ali Sina University, P.O. Box 65175-4161, Hamedan, Iran
7Qinggong College, Hebei United University, Tangshan 063009, China
8Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

Received 5 January 2014; Revised 8 February 2014; Accepted 8 February 2014; Published 12 March 2014

Academic Editor: Ali H. Bhrawy

Copyright © 2014 Ai-Min 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 [5 citations]

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

  • Ali H. Bhrawy, Yahia A. Alhamed, Dumitru Baleanu, and Abdulrahim A. Al-Zahrani, “New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions,” Fractional Calculus and Applied Analysis, vol. 17, no. 4, pp. 1137–1157, 2014. View at Publisher · View at Google Scholar
  • Meng Li, Xiao-Feng Hui, Carlo Cattani, Xiao-Jun Yang, and Yang Zhao, “Approximate Solutions for Local Fractional Linear Transport Equations Arising in Fractal Porous Media,” Advances in Mathematical Physics, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • A. H. Bhrawy, and M. A. Alghamdi, “A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations,” Advances in Mathematical Physics, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • A. H. Bhrawy, and M. A. Alghamdi, “A Legendre tau-Spectral Method for Solving Time-Fractional Heat Equation with Nonlocal Conditions,” The Scientific World Journal, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Junesang Choi, and Praveen Agarwal, “Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar