Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation.

Scalas, Enrico; Gorenflo, Rudolf; Mainardi, Francesco

Scalas, Enrico; Gorenflo, Rudolf; Mainardi, Francesco.

Afiliación

Scalas E; Department of Advanced Sciences and Technologies, East Piedmont University, Corso Borsalino 54, I-15100 Alessandria, Italy. scalas@unipmn.it

Phys Rev E Stat Nonlin Soft Matter Phys ; 69(1 Pt 1): 011107, 2004 Jan.

Article en En | MEDLINE | ID: mdl-14995604

RESUMEN

A detailed study is presented for a large class of uncoupled continuous-time random walks. The master equation is solved for the Mittag-Leffler survival probability. The properly scaled diffusive limit of the master equation is taken and its relation with the fractional diffusion equation is discussed. Finally, some common objections found in the literature are thoroughly reviewed.

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Colección: 01-internacional Base de datos: MEDLINE Tipo de estudio: Clinical_trials Idioma: En Revista: Phys Rev E Stat Nonlin Soft Matter Phys Asunto de la revista: BIOFISICA / FISIOLOGIA Año: 2004 Tipo del documento: Article País de afiliación: Italia Pais de publicación: Estados Unidos

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