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.

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