The role of the Fox-Wright functions in fractional sub-diffusion of distributed order

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dc.creatorMainardi, Francesco
dc.creatorPagnini, Gianni
dc.date2007-11-23
dc.date.accessioned2026-07-07T09:39:13Z
dc.date.available2026-07-07T09:39:13Z
dc.descriptionThe 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.
dc.description18 pages. Conference "Special Functions: Asymptotic Analysis and Computation", Santander (Spain) on 4-6 July, 2005
dc.identifierhttps://arxiv.org/abs/0711.3779
dc.identifierhttp://arxiv.org/abs/0711.3779
dc.identifierJournal of Computational and Applied Mathematics: Vol 207, No 2, pp.245-257 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161085
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectComplex Variables
dc.subject26A33, 33E12, 33C40, 33C60, 44A10 45K05
dc.titleThe role of the Fox-Wright functions in fractional sub-diffusion of distributed order
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