Publications Details

Fractional diffusion on bounded domains

Lehoucq, Richard B.; D'Elia, Marta D.; Defterli, Ozlem; Du, Qiang; Gunzburger, Max D.

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.