Artículos de revistas
The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation
Fecha
2016-05Registro en:
Dorrego, Gustavo; The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation; Taylor & Francis Ltd; Integral Transforms And Special Functions; 27; 5; 5-2016; 392-404
1065-2469
1476-8291
CONICET Digital
CONICET
Autor
Dorrego, Gustavo
Resumen
In this paper we study an n-dimensional generalization of time-fractional 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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