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New Approaches for Solving Fokker Planck Equation on Cantor Sets within Local Fractional Operators

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  • Hassan Kamil Jassim

Abstract

We discuss new approaches to handling Fokker Planck equation on Cantor sets within local fractional operators by using the local fractional Laplace decomposition and Laplace variational iteration methods based on the local fractional calculus. The new approaches maintain the efficiency and accuracy of the analytical methods for solving local fractional differential equations. Illustrative examples are given to show the accuracy and reliable results.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:684598
    DOI: 10.1155/2015/684598
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    References listed on IDEAS

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    1. Dumitru Baleanu & J. A. Tenreiro Machado & Carlo Cattani & Mihaela Cristina Baleanu & Xiao-Jun Yang, 2014. "Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, January.
    2. 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.
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    Cited by:

    1. Hassan Kamil Jassim & Mohammed Abdulshareef Hussein, 2023. "A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations," Mathematics, MDPI, vol. 11(7), pages 1-13, March.
    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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