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Title: On Fractional Helmholtz Equations
Authors: Samuel, M.
Thomas, Anitha
Keywords: Fractional Helmholtz Equation
Caputo Fractional Derivative
Weyl Fractional Derivative
Mittag-Leffler Function
Fox's H-function
Issue Date: 2010
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 13, No 3, (2010), 295p-308p
Abstract: In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function. The solutions to the fractional Poisson and the Laplace equations of the same kind are obtained, again represented by means of the Mittag-Leffler function. In all three cases the solutions are represented also in terms of Fox's H-function.
Description: MSC 2010: 26A33, 33E12, 33C60, 35R11
ISSN: 1311-0454
Appears in Collections:2010

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