On Fractional Helmholtz Equations
| Data(s) |
11/06/2012
11/06/2012
2010
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|---|---|
| Resumo |
MSC 2010: 26A33, 33E12, 33C60, 35R11 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. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 13, No 3, (2010), 295p-308p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Fractional Helmholtz Equation #Caputo Fractional Derivative #Weyl Fractional Derivative #Mittag-Leffler Function #Fox's H-function |
| Tipo |
Article |
