Renormalization and Homogenization of Fractional Diffusion Equations with Random Data
This paper presents a renomalization and homogenization theory for fractional-in-space or in-time diffusion equations with singular random initial conditions. The spectral representations for the solutions of these equations are provided. Gaussian and non-Gaussian limiting ditributions of the renormalized solutions of these equations are then described in terms of multiple stochastic integral representatives.
Citation countsare sourced monthly fromand citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
|Item Type:||Journal Article|
|Keywords:||fractional diffusion equation, long, range dependance, scaling laws, non, Gaussian scenario, renormalised solution, mittag, leffler function|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400)|
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Probability Theory (010404)
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
|Copyright Owner:||Copyright 2002 Springer Verlag|
|Copyright Statement:||Reproduced in accordance with the copyright policy of the publisher. The original publication is available at SpringerLink.|
|Deposited On:||05 Jan 2005|
|Last Modified:||02 Feb 2012 19:44|
Repository Staff Only: item control page