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

Author:

Li Yang-Yang12,Zhao Yang3,Xie Gong-Nan4,Baleanu Dumitru567,Yang Xiao-Jun8,Zhao Kai1

Affiliation:

1. Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences, Changchun 130102, China

2. University of Chinese Academy of Sciences, Beijing 100049, China

3. Electronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, China

4. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, China

5. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

6. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey

7. Institute of Space Sciences, Magurele, 077125 Bucharest, Romania

8. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

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