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Distributed-order fractional diffusions on bounded domains

DSpace at IIT Bombay

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Field Value
 
Title Distributed-order fractional diffusions on bounded domains
 
Creator MEERSCHAERT, MM
NANE, E
VELLAISAMY, P
 
Subject TIME RANDOM-WALKS
ULTRASLOW DIFFUSION
BROWNIAN-MOTION
CAUCHY-PROBLEMS
EQUATION
Fractional diffusion
Distributed-order fractional derivative
Stochastic solution
Boundary value problem
 
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.
 
Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE
 
Date 2012-06-26T07:17:03Z
2012-06-26T07:17:03Z
2011
 
Type Article
 
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
 
Language English