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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 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.
History
Publication status
- Published
Journal
FractalsISSN
0218-348XPublisher
World Scientific PublishingIssue
Supp01Volume
11Page range
281-289Department affiliated with
- Mathematics Publications
Notes
Suppl. SFull text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-10-01Usage metrics
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