ASYMPTOTIC BEHAVIOR OF MILD SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENCE EQUATIONS

作者：Xia, Zhinan^*; Wang, Dingjiang

来源：Fractional Calculus and Applied Analysis, 2018, 21(2): 527-551.

DOI：10.1515/fca-2018-0029

• weighted pseudo asymptotically periodic
• fractional difference equations
• fixed point theorem
• Leray-Schauder alternative theorem

In this paper, we establish some sufficient criteria for the existence, uniqueness of discrete weighted pseudo asymptotically periodic mild solutions and asymptotic behavior for nonlinear fractional difference equations in Banach space, where the nonlinear perturbation is Lipschitz type, or non-Lipschitz type. The results are a consequence of application of different fixed point theorems, namely, the Banach contraction mapping principle, Leray-Schauder alternative theorem and Matkowski's fixed point technique.

• 出版日期2018-4
• 单位浙江工业大学