Spectral Analysis of Fractional Kinetic Equations with Random Data

& (2001) Spectral Analysis of Fractional Kinetic Equations with Random Data. Journal of Statistical Physics, pp. 1349-1387.

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Description

We present a spectral representation of the mean-square solution of the fractional kinetic equation (also know as fractional diffusion equation) with random initial condition. Gaussian and non-Gausian limiting distributions of the renormalized solution of the fractional-in-time and in-space kinetic equation are described in terms of multiple stochastic integral representations.

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152 citations in Scopus
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ID Code: 407
Item Type: Contribution to Journal (Journal Article)
Refereed: Yes
ORCID iD:
Anh, Voorcid.org/0000-0003-2463-2099
Measurements or Duration: 39 pages
DOI: 10.1023/A:1010474332598
ISSN: 0022-4715
Pure ID: 34013020
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > QUT Faculties & Divisions > Science & Engineering Faculty
Current > Research Centres > Australian Research Centre for Aerospace Automation
Copyright Owner: Consult author(s) regarding copyright matters
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Deposited On: 10 Feb 2006 00:00
Last Modified: 27 May 2024 13:30