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Advances in Mathematical Physics
Volume 2014, Article ID 590574, 5 pages
Research Article

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

1Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences, Changchun 130102, China
2University of Chinese Academy of Sciences, Beijing 100049, China
3Electronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, China
4School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, China
5Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
6Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey
7Institute of Space Sciences, Magurele, 077125 Bucharest, Romania
8Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

Received 19 March 2014; Accepted 1 April 2014; Published 16 April 2014

Academic Editor: Carlo Cattani

Copyright © 2014 Yang-Yang Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.