The nontrivial solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator

Abstract

In this paper, we investigate the existence of nontrivial solutions in the Bessel Potential space for nonlinear fractional Schrödinger-Poisson system involving distributional Riesz fractional derivative. By using the mountain pass theorem in combination with the perturbation method, we prove the existence of solutions.