Finite-time stability of fractional delay differential equations involving the generalized Caputo fractional derivative with non-instantaneous impulses

被引：9

作者：

Vinh An, Truong ^{[1
]}

Vu, Ho ^{[2
]}

Van Hoa, Ngo ^{[3
,4
]}

机构：

[1] Ho Chi Minh City Univ Technol & Educ, Fac Sci Appl, Ho Chi Minh City, Vietnam

[2] Banking Univ Ho Chi Minh City, Fac Math Econ, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 09期

关键词：

finite-time stability; fractional delay differential equations; non-instantaneous impulses; GRONWALL INEQUALITY;

D O I：

10.1002/mma.8084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the first time, the result on finite-time stability (FTS) for fractional delay differential equations with non-instantaneous impulses (NI-FDDEs) involving the generalized Caputo fractional derivative is presented. Based on an extensive estimation of the fractional integral inequality provided in this paper, a sufficient condition is proposed to the FTS of NI-FDDEs. Some examples are provided to illustrate our theoretical results.

引用

页码：4938 / 4955

页数：18

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