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

Yangyang Li,Yang Zhao,Gongnan Xie,Dumitru Baleanu,Xiaojun Yang,Kai Zhao

ADVANCES IN MATHEMATICAL PHYSICS（2014）

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摘要

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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