Fractional Diffusion on Bounded Domains

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BRONZE

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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.

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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

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

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78

Volume

18

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2

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342

End Page

360
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88

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