Publications

Fractional diffusion on bounded domains

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

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.