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

Yang-Yang Li; Yang Zhao; Gong-Nan Xie; Dumitru Baleanu; Xiao-Jun Yang; Kai Zhao

doi:10.1155/2014/590574

Advances in Mathematical Physics (Jan 2014)

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

Yang-Yang Li,
Yang Zhao,
Gong-Nan Xie,
Dumitru Baleanu,
Xiao-Jun Yang,
Kai Zhao

Affiliations

Yang-Yang Li: Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences, Changchun 130102, China
Yang Zhao: Electronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, China
Gong-Nan Xie: School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, China
Dumitru Baleanu: Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
Xiao-Jun Yang: Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China
Kai Zhao: Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences, Changchun 130102, China

DOI: https://doi.org/10.1155/2014/590574
Journal volume & issue: Vol. 2014

Abstract

Read online

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.

Published in Advances in Mathematical Physics

ISSN: 1687-9120 (Print); 1687-9139 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Physics
Website: https://onlinelibrary.wiley.com/journal/3197

About the journal