TRANSIENT ANOMALOUS SUB-DIFFUSION ON BOUNDED DOMAINS
DSpace at IIT Bombay
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Title |
TRANSIENT ANOMALOUS SUB-DIFFUSION ON BOUNDED DOMAINS
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Creator |
MEERSCHAERT, MM
NANE, E VELLAISAMY, P |
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Subject |
Fractional diffusion
Cauchy problem tempered stable boundary value problem TIME RANDOM-WALKS MODELS |
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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.
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Publisher |
AMER MATHEMATICAL SOC
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Date |
2014-10-15T15:52:28Z
2014-10-15T15:52:28Z 2013 |
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Type |
Article
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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 |
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Language |
en
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