Mittag-Leffler stability for a new coupled system of fractional-order differential equations on network

In this paper, the stability problem of a new coupled model constructed by two fractional-order differential equations for every vertex is studied. The coupled relationship is hybrid. By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, sufficient conditions that the coexistence equilibrium of the coupling model is globally Mittag-Leffer stable in R-2n are derived. An example is given to illustrate the main results.