Fractional averaging theory for discrete fractional-order system with impulses

被引：0
|
作者：
Wang, Peiguang [1 ]
Liu, Xiang [2 ]
Anderson, Douglas R. [3 ]
机构：
[1] Hebei Univ, Sch Math & Informat Sci, Baoding 071002, Peoples R China
[2] Hebei Normal Univ, Sch Math Sci, Hebei Key Lab Computat Math & Applicat, Shijiazhuang 050024, Peoples R China
[3] Concordia Coll, Dept Math, Moorhead, MN 56562 USA
来源：
CHAOS | 2024年 / 34卷 / 01期
基金：
中国国家自然科学基金;
关键词：
DIFFERENTIAL-EQUATIONS; TIME; STABILITY;
D O I：
10.1063/5.0181121
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we improve the averaging theory on both finite and infinite time intervals for discrete fractional-order systems with impulses. By employing new techniques, generalized impulsive discrete fractional-order Gronwall inequality is introduced. In addition, the closeness of solutions for the discrete fractional-order systems with impulses and the averaged discrete fractional-order systems with impulses is derived. Finally, three examples are provided to illustrate the efficiency of our main results.
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页数：8
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