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Revisiting the derivation of the fractional diffusion equation

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posted on 2023-06-08, 18:27 authored by Enrico Scalas, R Gorenflo, F Mainardi, M 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

Publisher

World Scientific Publishing

Page range

281-289

Pages

360.0

Book title

Scaling and disordered systems: international workshop and collection of articles honoring Professor Antonio Coniglio on the occasion of his 60th birthday

Place of publication

London

ISBN

9789810248383

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Editors

Fereydoon Family, H Eugene Stanley, Hans J Herrmann, Mohamed Daoud

Legacy Posted Date

2014-10-01

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