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Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators

Jamshad AhmadSyed Tauseef Mohyud-DinH. M. SrivastavaXiao-Jun Yang — 2015

Waves, Wavelets and Fractals

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....

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