Revisiting the derivation of the fractional diffusion equation

Scalas, E, Gorenflo, R, Mainardi, F and Raberto, M (2002) Revisiting the derivation of the fractional diffusion equation. In: Family, Fereydoon, Daoud, Mohamed, Herrmann, Hans J and Stanley, H Eugene (eds.) Scaling and disordered systems: international workshop and collection of articles honoring Professor Antonio Coniglio on the occasion of his 60th birthday. World Scientific Publishing, pp. 281-289. ISBN 9789812778109

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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.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics
Depositing User: Enrico Scalas
Date Deposited: 01 Oct 2014 13:50
Last Modified: 01 Oct 2014 13:50
URI: http://sro.sussex.ac.uk/id/eprint/50295
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