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Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method

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  • Shao-Hong Yan
  • Xiao-Hong Chen
  • Gong-Nan Xie
  • Carlo Cattani
  • Xiao-Jun Yang

Abstract

The local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative. The obtained results give the present method that is very effective and simple for solving the differential equations on Cantor set.

Suggested Citation

  • Shao-Hong Yan & Xiao-Hong Chen & Gong-Nan Xie & Carlo Cattani & Xiao-Jun Yang, 2014. "Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
    • Handle: RePEc:hin:jnlaaa:396469
    DOI: 10.1155/2014/396469
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    Cited by:

    1. Hassan Kamil Jassim, 2015. "New Approaches for Solving Fokker Planck Equation on Cantor Sets within Local Fractional Operators," Journal of Mathematics, Hindawi, vol. 2015, pages 1-8, December.
    2. Singh, Jagdev & Jassim, Hassan Kamil & Kumar, Devendra, 2020. "An efficient computational technique for local fractional Fokker Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).

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