Stability and controllability results of yi-Hilfer fractional integro-differential under the influence of impulses

被引：22

作者：

Dhayal, Rajesh ^{[1
]}

Zhu, Quanxin ^{[2
,3
]}

机构：

[1] Thapar Inst Engn & Technol, Sch Math, Patiala, India

[2] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China

[3] Hunan Normal Univ, Coll Hunan Prov, Key Lab Control & Optimizat Complex Syst, Changsha 410081, Hunan, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 168卷

基金：

中国国家自然科学基金;

关键词：

yi-Hilfer fractional system; Impulsive effects; Stability criteria; Controllability; DIFFERENTIAL-EQUATIONS; APPROXIMATE CONTROLLABILITY; INCLUSIONS; EXISTENCE; DELAY;

D O I：

10.1016/j.chaos.2023.113105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to exploring a new class of yi-Hilfer fractional integro-differential systems under the influence of impulses. Using semigroup theory, fixed-point technique, and fractional calculus, we analyzed the existence and uniqueness of mild solutions. Moreover, we proved the novel stability criteria for the considered system by using the Gronwall inequality. Further, we investigated the controllability results for the proposed system by using the new piecewise control function. Finally, the main results are validated with the aid of an example.

引用

页数：13

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