Existence result for fractional Schrödinger-Poisson systems involving a Bessel operator without Ambrosetti-Rabinowitz condition

The present study is concerned with the nontrivial solutions for fractional Schrödinger-Poisson system with the Bessel operator. Under certain assumptions on the nonlinearity f, a nontrivial nonnegative solution is obtained by perturbation method for the given problem. In particular, the Ambrosetti-Rabinowitz type condition or the monotone assumption on the nonlinearity is unnecessary.