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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 RabertoThe 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.
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Publication status
- Published
Publisher
World Scientific PublishingExternal DOI
Page range
281-289Pages
360.0Book title
Scaling and disordered systems: international workshop and collection of articles honoring Professor Antonio Coniglio on the occasion of his 60th birthdayPlace of publication
LondonISBN
9789810248383Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Editors
Fereydoon Family, H Eugene Stanley, Hans J Herrmann, Mohamed DaoudLegacy Posted Date
2014-10-01Usage metrics
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