The fractional Sturm-Liouville equations have considerable role applications in some different phenomena such as mechanical and electrical engineering, medicine and physics. Thus, it is good we review different versions of this equation. We study a k-dimensional system of Sturm-Liouville hybrid equations by using the ca-admissible method. We investigate the existence of solutions for the k-dimensional system of hybrid equations with some multi-point boundary value conditions. We provide an example to illustrate our main result.