On a fractional Schrodinger-Poisson system with strong singularity

We investigate a fractional Schrodinger-Poisson system with strong singularity as follows: {(-Delta)(s)u + V(x)u + lambda phi u + lambda phi u = f(x)u(-gamma), x is an element of R-3, (-Delta)(t)phi = u(2), x is an element of R-3, {u > 0, x is an element of R-3, where 0 < s <= t < 1 with 4s + 2t > 3, lambda > 0 and gamma > 1. When V and f satisfy certain conditions, existence and uniqueness of positive solution u A are established via variational method and Nehari method. We also describe the asymptotic behaviour of u(lambda) as lambda -> 0.