The moving patch model with fractional diffusion

Sebastián Flores-Sepúlveda, Gabrielle Nornberg, Alexander Quaas

In this paper we study the following one-dimensional reaction-diffusion problem $$u_t+(-\Delta {)}^{s}u=f(x-ct,u)\text{ in }\mathbb{R}\times (0,+\infty ),$$ where $s>\frac{1}{2}$…