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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

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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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