ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Initial-Boundary Value Problems for Local Fractional Laplace Equation Arising in Fractal Electrostatics

Journal of Applied Nonlinear Dynamics 4(4) (2015) 349--356 | DOI:10.5890/JAND.2015.11.002

Xiao-Jun Yang$^{1}$, H. M. Srivastava$^{2}$, Dumitru Baleanu$^{3}$,$^{4}$

$^{1}$ Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, People’s Republic of China

$^{2}$ Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

$^{3}$ Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, TR-06530 Ankara, Turkey

$^{4}$ Institute of Space Sciences, P.O. BOX, MG-23, RO-76900 Magurele-Bucharest, Romania

Abstract

The initial-boundary value problems for the local fractional Laplace equation, which arises in fractal electrostatics, are investigated in this article. The non-differentiable solutions with different initial and boundary conditions are obtained by using the local fractional series expansion method.

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