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

Author

Listed:
  • Ai-Min Yang
  • Yu-Zhu Zhang
  • Carlo Cattani
  • Gong-Nan Xie
  • Mohammad Mehdi Rashidi
  • Yi-Jun Zhou
  • Xiao-Jun Yang

Abstract

We use the local fractional series expansion method to solve the Klein-Gordon equations on Cantor sets within the local fractional derivatives. The analytical solutions within the nondifferential terms are discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems of the liner differential equations on Cantor sets.

Suggested Citation

  • Ai-Min Yang & Yu-Zhu Zhang & Carlo Cattani & Gong-Nan Xie & Mohammad Mehdi Rashidi & Yi-Jun Zhou & Xiao-Jun Yang, 2014. "Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
    • Handle: RePEc:hin:jnlaaa:372741
    DOI: 10.1155/2014/372741
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    Cited by:

    1. Ghanbari, Behzad & Atangana, Abdon, 2020. "A new application of fractional Atangana–Baleanu derivatives: Designing ABC-fractional masks in image processing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    2. Riaz, M.B. & Iftikhar, N., 2020. "A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).

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