Existence of Nontrivial Solutions for a Class of Nonlinear Fractional Schr?dinger-Poisson System

This paper is concerned with the following fractional Schr?dinger-Poisson system:{(-△)su+u+φu=λf(u)in R3,(-△)αφ=u2 in R3,where s ∈(3/4,1),α ∈(0,1),λ is a positive parameter,(-△)s,(-△)α are fractional Laplacian operators.Under certain assumptions on f,we obtain the existence of at least one nontrivial solution of the system by using the methods of perturbation and Moser iterative method.