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TRANSIENT ANOMALOUS SUB-DIFFUSION ON BOUNDED DOMAINS

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Field Value
 
Title TRANSIENT ANOMALOUS SUB-DIFFUSION ON BOUNDED DOMAINS
 
Creator MEERSCHAERT, MM
NANE, E
VELLAISAMY, P
 
Subject Fractional diffusion
Cauchy problem
tempered stable
boundary value problem
TIME RANDOM-WALKS
MODELS
 
Description This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractional derivatives is solved. Then a separation of variables and eigenfunction expansions in time and space are used to write strong solutions. Finally, stochastic solutions are written in terms of an inverse subordinator.
 
Publisher AMER MATHEMATICAL SOC
 
Date 2014-10-15T15:52:28Z
2014-10-15T15:52:28Z
2013
 
Type Article
 
Identifier PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 141(2)699-710
0002-9939
1088-6826
http://dspace.library.iitb.ac.in/jspui/handle/100/15201
 
Language en