Revisiting the derivation of the fractional diffusion equation

Enrico Scalas; Rudolf Gorenflo; Francesco Mainardi; Marco Raberto

doi:10.1142/S0218348X0300194X

Revisiting the derivation of the fractional diffusion equation

Enrico Scalas, Rudolf Gorenflo, Francesco Mainardi, Marco Raberto

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

The fractional diffusion equation is derived from the master equation of continuous time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases. The meaning of the proper diffusion limit for CTRWs is discussed.

Lingua originale	Inglese
pagine (da-a)	281-289
Numero di pagine	9
Rivista	Fractals
Volume	11
Numero di pubblicazione	SUPPL.
DOI	https://doi.org/10.1142/S0218348X0300194X
Stato di pubblicazione	Pubblicato - feb 2003
Pubblicato esternamente	Sì

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10.1142/S0218348X0300194X

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title = "Revisiting the derivation of the fractional diffusion equation",

abstract = "The fractional diffusion equation is derived from the master equation of continuous time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases. The meaning of the proper diffusion limit for CTRWs is discussed.",

author = "Enrico Scalas and Rudolf Gorenflo and Francesco Mainardi and Marco Raberto",

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AB - The fractional diffusion equation is derived from the master equation of continuous time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases. The meaning of the proper diffusion limit for CTRWs is discussed.

UR - https://www.scopus.com/pages/publications/0037311921

U2 - 10.1142/S0218348X0300194X

DO - 10.1142/S0218348X0300194X

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JO - Fractals

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IS - SUPPL.

ER -

Revisiting the derivation of the fractional diffusion equation

Abstract

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