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Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets

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  • Yuan Cao
  • Wei-Gang Ma
  • Lian-Chuan Ma

Abstract

The analytical solutions for the diffusion equations on Cantor sets with the nondifferentiable terms are discussed by using the local fractional functional method, which is a coupling method for local fractional Fourier series and Laplace transform.

Suggested Citation

  • Yuan Cao & Wei-Gang Ma & Lian-Chuan Ma, 2014. "Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:803693
    DOI: 10.1155/2014/803693
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    References listed on IDEAS

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    1. Chun-Ying Long & Yang Zhao & Hossein Jafari, 2014. "Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Ai-Min Yang & Cheng Zhang & Hossein Jafari & Carlo Cattani & Ying Jiao, 2014. "Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, February.
    3. Xiao-Jun Yang & Jordan Hristov & H. M. Srivastava & Bashir Ahmad, 2014. "Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg‐de Vries Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Ai-Min Yang & Cheng Zhang & Hossein Jafari & Carlo Cattani & Ying Jiao, 2014. "Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Shun-Qin Wang & Yong-Ju Yang & Hassan Kamil Jassim, 2014. "Local Fractional Function Decomposition Method for Solving Inhomogeneous Wave Equations with Local Fractional Derivative," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, January.
    6. Chun-Ying Long & Yang Zhao & Hossein Jafari, 2014. "Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
    7. Xiao-Jun Yang & Jordan Hristov & H. M. Srivastava & Bashir Ahmad, 2014. "Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    8. Shun-Qin Wang & Yong-Ju Yang & Hassan Kamil Jassim, 2014. "Local Fractional Function Decomposition Method for Solving Inhomogeneous Wave Equations with Local Fractional Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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