Distributed-order fractional diffusions on bounded domains
DSpace at IIT Bombay
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Title |
Distributed-order fractional diffusions on bounded domains
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Creator |
MEERSCHAERT, MM
NANE, E VELLAISAMY, P |
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Subject |
TIME RANDOM-WALKS
ULTRASLOW DIFFUSION BROWNIAN-MOTION CAUCHY-PROBLEMS EQUATION Fractional diffusion Distributed-order fractional derivative Stochastic solution Boundary value problem |
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Description |
Fractional derivatives can be used to model time delays in a diffusion process. When the order of the fractional derivative is distributed over the unit interval, it is useful for modeling a mixture of delay sources. This paper provides explicit strong solutions and stochastic analogues for distributed-order time-fractional diffusion equations on bounded domains, with Dirichlet boundary conditions. Published by Elsevier Inc.
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Publisher |
ACADEMIC PRESS INC ELSEVIER SCIENCE
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Date |
2012-06-26T07:17:03Z
2012-06-26T07:17:03Z 2011 |
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Type |
Article
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Identifier |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,379(1)216-228
0022-247X http://dx.doi.org/10.1016/j.jmaa.2010.12.056 http://dspace.library.iitb.ac.in/jspui/handle/100/14113 |
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Language |
English
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