Fractional Diffusion on Bounded Domains

被引：1
|
作者：
Ozlem Defterli
Marta D’Elia
Qiang Du
Max Gunzburger
Rich Lehoucq
Mark M. Meerschaert
机构：
[1] Michigan State University,Department of Statistics and Probability
[2] Optimization and Uncertainty Quantification,Sandia National Laboratories
[3] Fu Foundation School of Engineering and Applied Sciences Columbia University,Department of Applied Physics and Applied Mathematics
[4] Florida State University,Department of Scientific Computing
[5] Computational Mathematics,Sandia National Laboratories
[6] Michigan State University,Department of Statistics and Probability
[7] Çankaya University,Department of Mathematics and Computer Science
[8] Pennsylvania State University,Department of Mathematics
来源：
Fractional Calculus and Applied Analysis | 2015年 / 18卷
关键词：
Primary 35J05; Secondary 26A33; fractional diffusion; boundary value problem; nonlocal diffusion; well-posed equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains.
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页码：342 / 360
页数：18
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