期刊
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
卷 18, 期 2, 页码 342-360出版社
SPRINGERNATURE
DOI: 10.1515/fca-2015-0023
关键词
fractional diffusion; boundary value problem; nonlocal diffusion; well-posed equation
资金
- U.S. National Science Foundation [DMS-1315259, DMS-1318586, DMS-1025486, EAR-1344280]
- Sandia National Laboratories
- U.S. Department of Energy [DE-AC04-94AL85000]
- Scientific and Technical Research Council of Turkey
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1315259] Funding Source: National Science Foundation
- Directorate For Geosciences
- Division Of Earth Sciences [1344280] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1318586] Funding Source: National Science Foundation
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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