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In this paper, we deal with the existence and multiplicity ofsign-changing solutions for fractional Schrödinger–Poisson system:(℘)where,and  f  is a continuous function. Based on perturbation approach and the method of invariant sets of descending flow, we obtain the existence and multiplicity ofsign-changing solutions of system (). In addition, by applying the constrained variational method incorporated with Brouwer degree theory, we prove that system () possesses at least oneground state sign-changing solution. Furthermore, we show that the least energy of sign-changing solutions exceed twice than the least energy, and when  f  is odd, system () admits infinitely many nontrivial solutions.

Sign-changing solutions for a fractional Schrödinger–Poisson system