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.
Interacting particles with lévy strate- gies: limits of transport equations for swarm robotic systems.SIAM Journal on Applied Mathematics, 80(1):476–498, 2020
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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.