Distributed-order fractional diffusions on bounded domains

被引：114

作者：

Meerschaert, Mark M. ^{[2
]}

Nane, Erkan ^{[1
]}

Vellaisamy, P. ^{[3
]}

机构：

[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

[2] Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48823 USA

[3] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 379卷 / 01期

关键词：

Fractional diffusion; Distributed-order fractional derivative; Stochastic solution; Boundary value problem; TIME RANDOM-WALKS; ULTRASLOW DIFFUSION; BROWNIAN-MOTION; CAUCHY-PROBLEMS; EQUATION;

D O I：

10.1016/j.jmaa.2010.12.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：216 / 228

页数：13

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