A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators

被引：0
|
作者：
Velusamy Vijayakumar
Anurag Shukla
Kottakkaran Sooppy Nisar
Wasim Jamshed
Shahram Rezapour
机构：
[1] Vellore Institute of Technology,Department of Mathematics, School of Advanced Sciences
[2] Rajkiya Engineering College,Department of Applied Sciences
[3] Prince Sattam bin Abdulaziz University,Department of Mathematics, College of Arts and Sciences
[4] Capital University of Science and Technology (CUST),Department of Mathematics
[5] Azarbaijan Shahid Madani University,Department of Mathematics
[6] China Medical University,Department of Medical Research, China Medical University Hospital
来源：
Advances in Difference Equations | / 2021卷
关键词：
Approximate controllability; Gronwall’s inequality; Resolvent operators; Second-order integro-differential systems; 34K30; 34K40; 47H08; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring to fractional theories, resolvent operators, semigroup theory, Gronwall’s inequality, and Lipschitz condition. The article avoids the use of well-known fixed point theorem approaches. We have also included one example of theoretical consequences that has been validated.
引用
收藏
相关论文
共 50 条
  • [21] Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay
    Su, Xiao-feng
    Fu, Xian-long
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2021, 37 (03): : 573 - 589
  • [22] On the Controllability of Nonlocal Second-Order Impulsive Neutral Stochastic Integro-Differential Equations with Infinite Delay
    Diem Dang Huan
    ASIAN JOURNAL OF CONTROL, 2015, 17 (04) : 1233 - 1242
  • [23] Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay
    Huang, Hao
    Wu, Zheng
    Hu, Ling
    Wei, Zhangzhi
    Wang, Lianglong
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [24] Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators
    Bose, Chandrabose Sindhu Varun
    Udhayakumar, Ramalingam
    Elshenhab, Ahmed M.
    Kumar, Marappan Sathish
    Ro, Jong-Suk
    FRACTAL AND FRACTIONAL, 2022, 6 (10)
  • [25] 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
  • [26] FINITE-APPROXIMATE CONTROLLABILITY OF SEMILINEAR EVOLUTION SYSTEMS VIA RESOLVENT-LIKE OPERATORS
    Mahmudov, N. I.
    PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 246 - 248
  • [27] On the Approximate Controllability of Second-Order Evolution Hemivariational Inequalities
    N. I. Mahmudov
    R. Udhayakumar
    V. Vijayakumar
    Results in Mathematics, 2020, 75
  • [28] Approximate controllability of semi-linear neutral integro-differential systems with finite delay
    Mokkedem, Fatima Zahra
    Fu, Xianlong
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 : 202 - 215
  • [29] On the Approximate Controllability of Second-Order Evolution Hemivariational Inequalities
    Mahmudov, N., I
    Udhayakumar, R.
    Vijayakumar, V.
    RESULTS IN MATHEMATICS, 2020, 75 (04)
  • [30] Approximate controllability for finite delay nonlocal neutral integro-differential equations using resolvent operator theory
    Kamal Jeet
    Proceedings - Mathematical Sciences, 2020, 130
12345