Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1654

 Title: On Fractional Helmholtz Equations Authors: Samuel, M.Thomas, Anitha Keywords: Fractional Helmholtz EquationCaputo Fractional DerivativeWeyl Fractional DerivativeMittag-Leffler FunctionFox'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 URI: http://hdl.handle.net/10525/1654 ISSN: 1311-0454 Appears in Collections: 2010

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