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 Patlak– Keller–Segel equations for chemotactic superdiffusion.SIAM Journal on Applied Math- ematics, 78(2):1155–1173, 2018
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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.