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

Yangyang Li | Zendy; Yang Zhao | Zendy; Gongnan Xie | Zendy; Dumitru Băleanu | Zendy; XiaoJun Yang | Zendy; Kai Zhao | Zendy

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

Author(s) -

Yangyang Li,

Yang Zhao,

Gongnan Xie,

Dumitru Băleanu,

XiaoJun Yang,

Kai Zhao

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/590574

Subject(s) - laplace transform , fractal , laplace's equation , domain (mathematical analysis) , mathematical analysis , electrostatics , mathematics , poisson distribution , fractional calculus , poisson's equation , physics , boundary value problem , statistics , quantum mechanics

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

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