  In this paper, we study the existence of infinitely many weak solutions to a
fractional Kirchhoff-Schr\"{o}dinger-Poisson system involving the weak
singularity, i.e. when $0<\gamma<1$. Further, we obtain the existence of a
solution with the strong singularity, i.e. when $\gamma>1$. We employ
variational techniques to prove the existence and multiplicity results.
Moreover, a $L^{\infty}$ estimate is obtained by using the Moser iteration
method.
