当前位置:
X-MOL 学术
›
Chaos Solitons Fractals
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Finite-time stability of ABC type fractional delay difference equations
Chaos, Solitons & Fractals ( IF 5.3 ) Pub Date : 2021-09-21 , DOI: 10.1016/j.chaos.2021.111430 Yuting Chen 1 , Xiaoyan Li 1 , Song Liu 1
中文翻译:
ABC型分数延迟差分方程的有限时间稳定性
更新日期:2021-09-21
Chaos, Solitons & Fractals ( IF 5.3 ) Pub Date : 2021-09-21 , DOI: 10.1016/j.chaos.2021.111430 Yuting Chen 1 , Xiaoyan Li 1 , Song Liu 1
Affiliation
In this paper, finite-time stability of fractional delay difference equations with discrete Mittag-Leffler kernel are studied. Firstly, we establish a new generalized Gronwall inequality in sense of Atangana-Baleanu fractional difference sum operator. Then, based on this new generalized Gronwall inequality and the method of steps, finite-time stability criteria of fractional delay difference equations with discrete Mittag-Leffler kernel are induced respectively. Finally, examples are presented to illustrate the validity of main results.
中文翻译:
ABC型分数延迟差分方程的有限时间稳定性
本文研究了离散Mittag-Leffler核分数阶时滞差分方程的有限时间稳定性。首先,我们在Atangana-Baleanu分数差分和算子意义上建立了一个新的广义Gronwall不等式。然后,基于这个新的广义Gronwall不等式和步长法,分别推导出具有离散Mittag-Leffler核的分数延迟差分方程的有限时间稳定性判据。最后,通过实例说明主要结果的有效性。