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Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain

Author

Listed:
  • Yang-Yang Li
  • Yang Zhao
  • Gong-Nan Xie
  • Dumitru Baleanu
  • Xiao-Jun Yang
  • Kai Zhao

Abstract

From the local fractional calculus viewpoint, Poisson and Laplace equations were presented in this paper. Their applications to the electrostatics in fractal media are discussed and their local forms in the Cantor‐type cylindrical coordinates are also obtained.

Suggested Citation

  • Yang-Yang Li & Yang Zhao & Gong-Nan Xie & Dumitru Baleanu & Xiao-Jun Yang & Kai Zhao, 2014. "Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:590574
    DOI: 10.1155/2014/590574
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    References listed on IDEAS

    as
    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. 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.
    Full references (including those not matched with items on IDEAS)

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