Applications of integral transforms in fractional diffusion processes

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dc.creatorMainardi, Francesco
dc.date2007-09-30
dc.date.accessioned2026-07-07T08:33:11Z
dc.date.available2026-07-07T08:33:11Z
dc.descriptionThe fundamental solution (Green function) for the Cauchy problem of the space-time fractional diffusion equation is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. Then, by using the Mellin transform, a general representation of the Green function in terms of Mellin-Barnes integrals in the complex plane is derived. This allows us to obtain a suitable computational form of the Green function in the space-time domain and to analyse its probability interpretation.
dc.description11 Pages. Paper with added notes based on an invited lecture: 3rd International ISAAC Congress, Free University of Berlin, 20-25 August 2001 (Sub-session 1.3: Integral Transforms and Applications)
dc.identifierhttps://arxiv.org/abs/0710.0145
dc.identifierhttp://arxiv.org/abs/0710.0145
dc.identifierIntegral Transforms and Special Functions, Vol 15, No 6, pp. 477-484 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139041
dc.subjectProbability
dc.subjectComplex Variables
dc.subject26A33; 33E12; 44A10;33C60; 44A10, 45K05; 60G18;
dc.titleApplications of integral transforms in fractional diffusion processes
dc.typetext

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