Fractional Diffusion on Bounded Domains
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter GmbH
Open Access Color
BRONZE
Green Open Access
Yes
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Publicly Funded
No
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Top 1%
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Top 10%
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Top 10%
Abstract
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. © 2015 Diogenes Co., Sofia.
Description
Keywords
Boundary Value Problem, Fractional Diffusion, Nonlocal Diffusion, Well-Posed Equation, well-posed equation, Fractional derivatives and integrals, boundary value problem, fractional diffusion, nonlocal diffusion, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Fractional partial differential equations
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Defterli, Ö...et al. (2015). Fractional diffusion on bounded domains. Fractional Calculus And Applied Analysis, 18(2), 242-360. http://dx.doi.org/10.1515/fca-2015-0023
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
78
Source
Fractional Calculus and Applied Analysis
Volume
18
Issue
2
Start Page
342
End Page
360
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Citations
CrossRef : 77
Scopus : 87
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Mendeley Readers : 14
SCOPUS™ Citations
88
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2
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