Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

被引:13
|
作者
Kailasavalli, S. [1 ]
Baleanu, D. [2 ,3 ]
Suganya, S. [4 ]
Arjunan, M. Mallika [4 ]
机构
[1] PSNA Coll Engn & Technol, Dept Math, Dindigul 624622, Tamil Nadu, India
[2] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
[4] CBM Coll, Dept Math, Coimbatore 641042, Tamil Nadu, India
关键词
Controllability; fractional order differential equations; state-dependent delay; Banach fixed point theorem; resolvent operators; semigroup theory; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; EXISTENCE; INCLUSIONS; UNIQUENESS;
D O I
10.1515/auom-2016-0017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integrodifferential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.
引用
收藏
页码:29 / 55
页数:27
相关论文
共 50 条
  • [31] Controllability for Functional Integro-differential Equation with State Dependent Delay in Frechet Spaces
    Litimein, Sara
    Matallah, Atika
    [J]. ICEMIS'18: PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON ENGINEERING AND MIS, 2018,
  • [32] Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces
    Ravichandran, C.
    Trujillo, J. J.
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [33] Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
    Bensalem, Abdelhamid
    Salim, Abdelkrim
    Benchohra, Mouffak
    Feckan, Michal
    [J]. MATHEMATICS, 2023, 11 (07)
  • [34] EXISTENCE OF SOLUTIONS TO IMPULSIVE FRACTIONAL PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY
    Yan, Zuomao
    Zhang, Hongwu
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [35] ASYMPTOTIC STABILITY OF FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
    Yan, Zuomao
    Zhang, Hongwu
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [36] Approximate Controllability of Partial Fractional Neutral Integro-Differential Inclusions With Infinite Delay in Hilbert Spaces
    Yan, Zuomao
    Zhang, Hongwu
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (01):
  • [37] Neutral multivalued integro-differential evolution equations with infinite state-dependent delay
    Mebarki, Abdelaziz
    Baghli-Bendimerad, Selma
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (06) : 2312 - 2329
  • [38] EXISTENCE RESULTS FOR A PARTIAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH STATE-DEPENDENT DELAY
    Dos Santos, Jose Paulo C.
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (29) : 1 - 12
  • [39] CONTROLLABILITY RESULTS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
    Bensalem, Abdelhamid
    Salim, Abdelkrim
    Benchohra, Mouffak
    Nieto, Juan J.
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1559 - 1576
  • [40] Controllability for a class of fractional neutral integro-differential equations with unbounded delay
    Vijayakumar, V.
    Selvakumar, A.
    Murugesu, R.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 303 - 312