Domain coarsening in a subdiffusive Allen–Cahn equation

•Equations governing the motion of interacting domain walls are derived.•The governed equations are solved analytically and numerically.•Basic properties of the domain wall dynamics are described.

Domain coarsening in a one-dimensional bistable system governed by a subdiffusive generalization of the Allen–Cahn equation is considered. Integro-differential equations governing the motion of interacting domain walls are derived and solved analytically and numerically. The dependence of the domain wall dynamics on the subdiffusion parameter is investigated.