The fundamental solution of the fractional diffusion equation of distributed order in time (usually adopted for modelling sub-diffusion processes) is obtained based on its Mellin-Barnes integral representation. Such solution is proved to be related via a Laplace-type integral to the Fox-Wright functions. A series expansion is also provided in order to point out the distribution of time-scales related to the distribution of the fractional orders. The results of the time fractional diffusion equation of a single order are also recalled and then re-obtained from the general theory.
Titolo: | The Role of the Fox-Wright Functions in Fractional Sub-Diffusion of Distributed Order |
Data di pubblicazione: | 15-ott-2007 |
Handle: | http://hdl.handle.net/20.500.12079/1194 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.