The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation

In this paper we study an n-dimensional generalization of timefractional diffusion-wave equation, where the Laplacian operator is replaced by the ultra-hyperbolic operator and the time-fractional derivative is taken in the Hilfer sense. The analytical solution is obtained in terms of the Fox’s H-fun...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Dorrego, Gustavo Abel
Formato: Artículo
Lenguaje:Inglés
Publicado: Taylor & Francis Group 2020
Materias:
Fractional differential equation
Hilfer fractional derivative
Caputo fractional derivative
Riemann liouville fractional derivative
Mittag leffler type function
Fox's h function
Integrals transforms
Ultra hyperbolic operator
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/9111
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-9111
record_format dspace
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Fractional differential equation
Hilfer fractional derivative
Caputo fractional derivative
Riemann liouville fractional derivative
Mittag leffler type function
Fox's h function
Integrals transforms
Ultra hyperbolic operator
spellingShingle Fractional differential equation
Hilfer fractional derivative
Caputo fractional derivative
Riemann liouville fractional derivative
Mittag leffler type function
Fox's h function
Integrals transforms
Ultra hyperbolic operator
Dorrego, Gustavo Abel
The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
topic_facet Fractional differential equation
Hilfer fractional derivative
Caputo fractional derivative
Riemann liouville fractional derivative
Mittag leffler type function
Fox's h function
Integrals transforms
Ultra hyperbolic operator
description In this paper we study an n-dimensional generalization of timefractional diffusion-wave equation, where the Laplacian operator is replaced by the ultra-hyperbolic operator and the time-fractional derivative is taken in the Hilfer sense. The analytical solution is obtained in terms of the Fox’s H-function, for which the inverse Fourier transform of a Mittag–Leffler-type function that contains in its argument a positive-definite quadratic form is calculated.
format Artículo
author Dorrego, Gustavo Abel
author_facet Dorrego, Gustavo Abel
author_sort Dorrego, Gustavo Abel
title The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
title_short The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
title_full The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
title_fullStr The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
title_full_unstemmed The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
title_sort mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
publisher Taylor & Francis Group
publishDate 2020
url http://repositorio.unne.edu.ar/handle/123456789/9111
work_keys_str_mv AT dorregogustavoabel themittaglefflerfunctionanditsapplicationtotheultrahyperbolictimefractionaldiffusionwaveequation
AT dorregogustavoabel mittaglefflerfunctionanditsapplicationtotheultrahyperbolictimefractionaldiffusionwaveequation
bdutipo_str Repositorios
_version_ 1764820542298259457

Ejemplares similares