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

共 50 条

[1] Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay
Bose, Chandrabose Sindhu Varun
Muthukumaran, Venkatesan
Al-Omari, Shrideh
Ahmad, Hijaz
Udhayakumar, Ramalingam
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (01): : 166 - 188
[2] On the impulsive implicit ψ-Hilfer fractional differential equations with delay
Kharade, Jyoti P.
Kucche, Kishor D.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (04) : 1938 - 1952
[3] Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions
Linitda, Thitiporn
Karthikeyan, Kulandhaivel
Sekar, Palanisamy Raja
Sitthiwirattham, Thanin
MATHEMATICS, 2023, 11 (05)
[4] Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions
Hussain, Sadam
Sarwar, Muhammad
Abodayeh, Kamaleldin
Promsakon, Chanon
Sitthiwirattham, Thanin
CHAOS SOLITONS & FRACTALS, 2024, 183
[5] Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations
Ahmed, A. M. Sayed
AL-Nahhas, Mahmoud A.
Omar, Othman A. M.
Chalishajar, Dimplekumar N.
Ahmed, Hamdy M.
RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
[6] Impulsive Hilfer fractional differential equations
Ahmed, Hamdy M.
El-Borai, Mahmoud M.
El-Owaidy, Hassan M.
Ghanem, Ahmed S.
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[7] Impulsive Hilfer fractional differential equations
Hamdy M. Ahmed
Mahmoud M. El-Borai
Hassan M. El-Owaidy
Ahmed S. Ghanem
Advances in Difference Equations, 2018
[8] Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions
Wang, JinRong
Ibrahim, Ahmed Gamal
O'Regan, Donal
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (06): : 958 - 984
[9] Approximate controllability of impulsive Hilfer fractional differential inclusions
Du, Jun
Jiang, Wei
Niazi, Azmat Ullah Khan
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 595 - 611
[10] NULL CONTROLLABILITY OF ?-HILFER IMPLICIT FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ?-HILFER FRACTIONAL NONLOCAL CONDITIONS
Kerboua, Mourad
Bouacida, Ichrak
Segni, Sami
EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1473 - 1491

← 1 2 3 4 5 →