In this paper we develop analytical solutions for the Helmholtz and Laplace equations involving local fractional derivative operators. We implement the local fractional decomposition method (LFDM) for finding the exact solutions. The iteration procedure is based upon the local fractional derivative sense. The numerical results, whichwe present in this paper, show that the methodology used provides an efficient and simple tool for solving fractal phenomena arising in mathematical physics and engineering. Several illustrative examples are also provided.
@article{bwmeta1.element.doi-10_1515_wwfaa-2015-0003,
author = {Jamshad Ahmad and Syed Tauseef Mohyud-Din and H. M. Srivastava and Xiao-Jun Yang},
title = {Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators},
journal = {Waves, Wavelets and Fractals},
volume = {1},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2015-0003}
}
Jamshad Ahmad; Syed Tauseef Mohyud-Din; H. M. Srivastava; Xiao-Jun Yang. Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators. Waves, Wavelets and Fractals, Tome 1 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2015-0003/
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