Existence of Nontrivial Solutions for a Class of Nonlinear Fractional Schr\"{o}dinger-Poisson System

Abstract:

      {R}^3\emph{},\end{array}\right.$$ where $s\in (\frac{3}{4},1), \alpha\in(0,1),\lambda$ is a positive parameter, $(-\Delta)^s,(-\Delta)^{\alpha}$ 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.