A Solution of Fractional Laplace's Equation by Modified Separation of Variables
Keywords:Fractional differential equation, Laplace's equation, Meijer's G-function, Modified separation of variables.
This paper applies the Modified separation of variables method (MSV) suggested by Pishkoo and Darus towards obtaining a solution for fractional Laplace's equation. The closed form expression for potential function is formulated in terms of Meijer's G-functions (MGFs). Moreover, the relationship between fractional dimension and parameters of Meijer’s G-function for spherical Laplacian in R, for radial functions is derived.
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