This paper is devoted to the study of fractional Schrödinger-Poisson type equations with magnetic field of the type
$$\varepsilon^{2s}(-\Delta)_{A/\varepsilon}^{s}u + V(x)u + {\rm e}^{-2t}(\vert x \vert^{2t-3} \ast \vert u\vert ^{2})u = f(\vert u \vert^{2})u \quad \hbox{in} \ \open{R}^{3},$$
where ε > 0 is a parameter,
s,
t ∈ (0, 1) are such that 2
s+2
t>3,
A:ℝ
3 → ℝ
3 is a smooth magnetic potential, (−Δ)
As is the fractional magnetic Laplacian,
V:ℝ
3 → ℝ is a continuous electric potential and
f:ℝ → ℝ is a
C1 subcritical nonlinear term. Using variational methods, we obtain the existence, multiplicity and concentration of nontrivial solutions for e > 0 small enough.