  In this paper we consider nonlinear stationary fractional-in-space
differential equations with order $1<\alpha<2$ on the metric star graph with
three finite bonds. At the branched point of the star graph we put the weight
continuity and the generalized Kirchhoff rule. It is found the exact solutions
of nonlinear stationary fractional equations on the star graph. These can be
extended to the star graphs with any number of bonds.
