A study on controllability for Hilfer fractional differential equations with impulsive delay conditions

被引：2

作者：

Karthikeyan, Kulandhaivel ^{[1
]}

Sekar, Palanisamy Raja ^{[2
]}

Karthikeyan, Panjaiyan ^{[3
]}

Kumar, Anoop ^{[4
]}

Botmart, Thongchai ^{[5
]}

Weera, Wajaree ^{[5
]}

机构：

[1] KPR Inst Engn & Technol, Ctr Res & Dev, Dept Math, Coimbatore, Tamil Nadu, India

[2] KSR Coll Engn, Dept Math, Namakkal, Tamil Nadu, India

[3] Sri Vasavi Coll, Dept Math, Erode, Tamil Nadu, India

[4] Cent Univ Punjab, Sch Basic Sci, Dept Math & Stat, VPO Ghudda, Bathinda 151401, Punjab, India

[5] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 02期

关键词：

boundary condition; fractional calculus; implusive condition; integro-differential system; controllability; fixed-point theorem; SYSTEMS;

D O I：

10.3934/math.2023209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article focuses on the controllability of a Hilfer fractional impulsive differential equation with indefinite delay. We analyze our major outcomes using fractional calculus, the measure of non-compactness and a fixed-point approach. Finally, an example is provided to show the theory.

引用

页码：4202 / 4219

页数：18

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