This paper deals with the following fractional Choquard equation epsilon(2s)(-Delta)(s)u+Vu=epsilon(-alpha)(I-alpha(& lowast;)|u|(p))|u|(p-2)u in R-N, where epsilon>0 is a small parameter, (-Delta)(s) is the fractional Laplacian, N>2s, s is an element of(0,1), alpha is an element of((N-4s)+,N), p is an element of[2,N+alpha/N-2s), I-alpha is a Riesz potential, V is an element of C(R-N,[0,+infinity)) is an electric potential. Under some assumptions on the decay rate of V and the corresponding range of p, we prove that the problem has a family of solutions {u(epsilon)} concentrating at a local mi...
