We study the global asymptotic stability of the equilibrium point for the fractional difference equation x_(n+1) = (ax_(n-l)x _(n-k))/(~(a + b) x_(n-s) + cx_(n-t)), n = 0,1, where the initial conditions x_(-r), x_(-r+1),x_1,x _0 are arbitrary positive real numbers of the interval (0,/2a),l,k,s,t are nonnegative integers, r = max{l,k,s,t} and a,a,b,c are positive constants. Moreover, some numerical simulations are given to illustrate our results.
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