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...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Argentina |
| Institución: | Universidad Nacional del Nordeste |
| Repositorio: | Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unne.edu.ar:123456789/9111 |
| Acceso en línea: | http://repositorio.unne.edu.ar/handle/123456789/9111 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 |
| Sumario: | 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. |
|---|