University of Sussex
Browse

File(s) not publicly available

Revisiting the derivation of the fractional diffusion equation

journal contribution
posted on 2023-06-08, 18:27 authored by Enrico Scalas, Rudolf Gorenflo, Francesco Mainardi, Marco Raberto
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.

History

Publication status

  • Published

Journal

Fractals

ISSN

0218-348X

Publisher

World Scientific Publishing

Issue

Supp01

Volume

11

Page range

281-289

Department affiliated with

  • Mathematics Publications

Notes

Suppl. S

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-01

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC