Using boundary-layer asymptotics, the authors claim a fractional Patlak-Keller-Segel equation with a fractional Neumann-type boundary condition, but the derivation has a scaling inconsistency.
Fractional partial differential equations with boundary conditions
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Macroscopic boundary conditions for a fractional diffusion equation in chemotaxis
Using boundary-layer asymptotics, the authors claim a fractional Patlak-Keller-Segel equation with a fractional Neumann-type boundary condition, but the derivation has a scaling inconsistency.