Solutions for a nonlocal elliptic equation involving critical growth and Hardy potential

In this paper, by an approximating argument, we obtain infinitely many solutions for the following Hardy-Sobolev fractional equation with critical growth \begin{equation*}\label{0.1} \left{% \begin{array}{ll} (-\Delta)^{s} u-\ds\frac{\mu u}{|x|^{2s}}=|u|^{2^_s-2}u+au, & \hbox{$\text{in }\mathrm{\Omega }$},\vspace{0.1cm} u=0,,, &\hbox{$\text{on }\mathrm{\partial }\mathrm{\Omega }$}, \ \end{array}% \right. \end{equation} provided $N>6s$, $\mu \ge 0$, $0<s<1$, $2_s^{\ast }=\frac{2N}{N-2s}$, $a>0$ is a constant and $\mathrm{\Omega }$ is an open bounded domain in ${\mathbb{R}}^N$ which contains the origin.