In this paper, we study the existence of heteroclinic solution for a class of nonlocal problems of the type {(-Δ)αu + a(x)V'(u) = 0,x ℝ,limx→-∞u(x) =-1andlimx→+∞u(x) = 1, where α (1/2, 1), V,a: ℝ→ ℝare continuous functions verifying some technical conditions. For example a can be asymptotically periodic and potential V can be the Ginzburg-Landau potential, that is, V (t) = (t2-1)2.