# On Fractional Helmholtz Equations

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 3, page 295-308
- ISSN: 1311-0454

## Access Full Article

top## Abstract

top## How to cite

topSamuel, M., and Thomas, Anitha. "On Fractional Helmholtz Equations." Fractional Calculus and Applied Analysis 13.3 (2010): 295-308. <http://eudml.org/doc/219641>.

@article{Samuel2010,

abstract = {MSC 2010: 26A33, 33E12, 33C60, 35R11In 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.},

author = {Samuel, M., Thomas, Anitha},

journal = {Fractional Calculus and Applied Analysis},

keywords = {Fractional Helmholtz Equation; Caputo Fractional Derivative; Weyl Fractional Derivative; Mittag-Leffler Function; Fox's H-function; fractional Helmholtz equation; Caputo fractional derivative; Weyl fractional derivative; Mittag-Leffler function; Fox’s -function},

language = {eng},

number = {3},

pages = {295-308},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On Fractional Helmholtz Equations},

url = {http://eudml.org/doc/219641},

volume = {13},

year = {2010},

}

TY - JOUR

AU - Samuel, M.

AU - Thomas, Anitha

TI - On Fractional Helmholtz Equations

JO - Fractional Calculus and Applied Analysis

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 13

IS - 3

SP - 295

EP - 308

AB - MSC 2010: 26A33, 33E12, 33C60, 35R11In 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.

LA - eng

KW - Fractional Helmholtz Equation; Caputo Fractional Derivative; Weyl Fractional Derivative; Mittag-Leffler Function; Fox's H-function; fractional Helmholtz equation; Caputo fractional derivative; Weyl fractional derivative; Mittag-Leffler function; Fox’s -function

UR - http://eudml.org/doc/219641

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.