The Riesz-Bessel Fractional Diffusion Equation

Anh, Vo V. & McVinish, Ross S. (2004) The Riesz-Bessel Fractional Diffusion Equation. Applied Mathematics and Optimization, 49(3), pp. 241-264.

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This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the conditions under which the Green function of this equation is the transition probability density function of a Levy motion. This Levy motion is obtained by the subordination of Brownian motion, and the Levy representation of the subordinator is determined. The second part studies the semigroup formed by the Green function of the fractional diffusion equation. Applications of these results to certain evolution equations is considered. Some results on the numerical solution of the fractional diffusion equation are also provided.

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4 citations in Scopus
4 citations in Web of Science®
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509 since deposited on 14 Sep 2004
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ID Code: 430
Item Type: Journal Article
Refereed: Yes
Keywords: fractional diffusion equation, stochastic evolution equation, anomalous equation, levy motion
DOI: 10.1007/s00245-004-0790-1
ISSN: 1432-0606
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2004 Springer
Copyright Statement: The original publication is available at SpringerLink
Deposited On: 14 Sep 2004 00:00
Last Modified: 29 Feb 2012 13:03

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