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...
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| Formato: | Artículo |
| Lenguaje: | Inglés |
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Taylor & Francis Group
2020
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| Acceso en línea: | http://repositorio.unne.edu.ar/handle/123456789/9111 |
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| 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. |
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