Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682210Special Issue ( Nonlinear Analysis in Engineering and Sciences)20191201Existence of non-trivial solutions for fractional Schrödinger-Poisson systems with subcritical growth1323439310.22075/ijnaa.2019.4393ENA.KeyhanfarDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranS.H.RasouliDepartment of Mathematics, Faculty of Basisc Sciences, Babol(Noshirvani) University of Technology Babol, IranG.A.AfrouziDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranJournal Article20200516In this paper, we are concerned with the following fractional Schrödinger-Poisson system: (−∆s)u + u + λφu = µf(u) +|u|p−2|u|, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with the help of the variational methods.https://ijnaa.semnan.ac.ir/article_4393_5c0ff0eb8b6c0ca3798fe907821483ec.pdf