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

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

School of Marine Science and Technology

CAS - Northeast Institute of Geography and Agricultural Ecology
University of Chinese Academy of Sciences
Jiangmen Polytechnic
King Abdulaziz University
Cankaya University
Institute of Space Sciences, Magurele
China University of Mining and Technology

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English
Article number	590574
Journal	Advances in Mathematical Physics
Volume	2014
DOIs	https://doi.org/10.1155/2014/590574
State	Published - 2014

Access to Document

10.1155/2014/590574

Cite this

@article{634f5506cd014d0b8eafe1860ececf57,

title = "Local fractional Poisson and Laplace equations with applications to electrostatics in fractal domain",

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.",

author = "Li, \{Yang Yang\} and Yang Zhao and Xie, \{Gong Nan\} and Dumitru Baleanu and Yang, \{Xiao Jun\} and Kai Zhao",

year = "2014",

doi = "10.1155/2014/590574",

language = "英语",

volume = "2014",

journal = "Advances in Mathematical Physics",

issn = "1687-9120",

publisher = "John Wiley and Sons Ltd",

}

TY - JOUR

T1 - Local fractional Poisson and Laplace equations with applications to electrostatics in fractal domain

AU - Li, Yang Yang

AU - Zhao, Yang

AU - Xie, Gong Nan

AU - Baleanu, Dumitru

AU - Yang, Xiao Jun

AU - Zhao, Kai

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84900011952

U2 - 10.1155/2014/590574

DO - 10.1155/2014/590574

M3 - 文章

AN - SCOPUS:84900011952

SN - 1687-9120

VL - 2014

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

M1 - 590574

ER -

Local fractional Poisson and Laplace equations with applications to electrostatics in fractal domain

Abstract

Access to Document

Other files and links

Fingerprint

Cite this