Approximate controllability of impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces

被引：17

作者：

Zhou, Yong ^{[1
,2
]}

Suganya, S. ^{[3
]}

Arjunan, M. Mallika ^{[3
]}

Ahmad, B. ^{[2
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] CBM Coll, Dept Math, Coimbatore 641042, Tamil Nadu, India

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2019年 / 36卷 / 02期

基金：

中国国家自然科学基金;

关键词：

approximate controllability; fractional-order differential equations; impulsive conditions; state-dependent delay; semigroup theory; Banach contraction principle; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EVOLUTION INCLUSIONS; EXISTENCE;

D O I：

10.1093/imamci/dnx060

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of approximate controllability for non-linear impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces is investigated. We study the approximate controllability for non-linear impulsive integro-differential systems under the assumption that the corresponding linear control system is approximately controllable. By utilizing the methods of fractional calculus, semigroup theory, fixed-point theorem coupled with solution operator, sufficient conditions are formulated and proved. Finally, an example is provided to illustrate the proposed theory.

引用

页码：603 / 622

页数：20

共 50 条

[31] EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
Ma, Heping
Liu, Biu
ACTA MATHEMATICA SCIENTIA, 2017, 37 (01) : 235 - 258
[32] A note on fractional neutral integro-differential inclusions with state-dependent delay in Banach spaces
Suganya, Selvaraj
Baleanu, Dumitru
Arjunan, Mani Mallika
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (07) : 1302 - 1317
[33] Approximate controllability of a multi-valued fractional impulsive stochastic partial integro-differential equation with infinite delay
Yan, Zuomao
Lu, Fangxia
APPLIED MATHEMATICS AND COMPUTATION, 2017, 292 : 425 - 447
[34] New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
Ravichandran, C.
Valliammal, N.
Nieto, Juan J.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (03): : 1535 - 1565
[35] Solvability for Impulsive Neutral Integro-Differential Equations with State-Dependent Delay via Fractional Operators
Chang, Y. K.
Li, W. S.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 144 (03) : 445 - 459
[36] Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay br
Benkhettou, Nadia
Salim, Abdelkrim
Aissani, Khalida
Benchohra, Mouffak
Karapinar, Erdal
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (03): : 93 - 109
[37] A new effective technique of nonlocal controllability criteria for state delay with impulsive fractional integro-differential equation
Nisar, Kottakkaran Sooppy
Muthuselvan, Kanagaraj
RESULTS IN APPLIED MATHEMATICS, 2024, 21
[38] Solvability for Impulsive Neutral Integro-Differential Equations with State-Dependent Delay via Fractional Operators
Y. K. Chang
W. S. Li
Journal of Optimization Theory and Applications, 2010, 144 : 445 - 459
[39] Trajectory Controllability of Fractional Integro-Differential Systems in Hilbert Spaces
Govindaraj, Venkatesan
George, Raju K.
ASIAN JOURNAL OF CONTROL, 2018, 20 (05) : 1994 - 2004
[40] APPROXIMATE CONTROLLABILITY OF STOCHASTIC IMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMS WITH INFINITE DELAY
Boudaoui, Ahmed
Slama, Abdeldjalil
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2014, 13 (01): : 1 - 19

← 1 2 3 4 5 →