Inspired by some models arising in crystal dislocation,
we consider an evolution equation driven by
the fractional Laplacian with a small stress that is close
to constant in space and time.
We show that the solution, in the suitable space and time scale,
may be seen as the superposition of a finite
number of transition layers.
Each transition is centered at a point
that evolves by following the external stress and
subject to a repulsive potential
of fractional type.
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