Global behavior of equilibrium point for a class of fractional difference equation

In this paper we study the globally asymptotic stability of the equilibrium point for the nonlinear difference equation x_n+1= (ax_n-_lx_n-_k)/(bx_n-s + cx_n-t), n = 0, 1, hellip, where the initial conditions x_-r, x_-r+1, hellip , x₁, x₀ are arbitrary positive real numbers. l, k, s, t are nonnegative integers, r = max{l, k, s, t}, and a, b, c are positive constants. Finally, some numerical simulations are given to illustrate our results.