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DOE OSTI · 1183102

Fractional diffusion on bounded domains

Defterli, Ozlem·D'Elia, Marta·Du, Qiang·Gunzburger, Max Donald·Lehoucq, Richard B.·Meerschaert, Mark M.
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Abstract

We found that the mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. In this paper we discuss the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains.

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97 MATHEMATICS AND COMPUTINGboundary value problemfractional diffusionnonlocal diffusionwell-posed equation

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Defterli, Ozlem, D'Elia, Marta, Du, Qiang, Gunzburger, Max Donald, Lehoucq, Richard B., Meerschaert, Mark M.. 2015-03-13. Fractional diffusion on bounded domains. https://doi.org/10.1515/fca-2015-0023

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