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Mehmet Gumus,Y¨uksel Soykan 한국전산응용수학회 2017 Journal of applied mathematics & informatics Vol.35 No.3
The purpose of this paper is to investigate the local asymptotic stability of equilibria, the periodic nature of solutions, the existence of unbounded solutions and the global behavior of solutions of the fractional difference equation xn+1 = αxn−(k+1) β + γxp n−kxq n−(k+2) , n = 0, 1, ... where the parameters α, β, γ, p, q are non-negative numbers and the initial values x−(k+2),x−(k+1), ..., x−1, x0 ∈ R+.