Publications Details

Fractional diffusion on bounded domains

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

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.