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

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2016年 / 24卷 / 01期

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

页码：29 / 55

页数：27

共 50 条

[1] 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.
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (03): : 1535 - 1565
[2] On Fractional Neutral Integro-differential Systems with State-dependent Delay in Banach Spaces
Kailasavalli, S.
Suganya, S.
Arjunan, M. Mallika
[J]. FUNDAMENTA INFORMATICAE, 2017, 151 (1-4) : 109 - 133
[3] A note on fractional neutral integro-differential inclusions with state-dependent delay in Banach spaces
Suganya, Selvaraj
Baleanu, Dumitru
Arjunan, Mani Mallika
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (07) : 1302 - 1317
[4] EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
Ma, Heping
Liu, Biu
[J]. ACTA MATHEMATICA SCIENTIA, 2017, 37 (01) : 235 - 258
[5] EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
马和平
刘斌
[J]. Acta Mathematica Scientia, 2017, (01) : 235 - 258
[6] On fractional integro-differential inclusions with state-dependent delay in Banach spaces
Benchohra, Mouffak
Litimein, Sara
N'Guerekata, Gaston
[J]. APPLICABLE ANALYSIS, 2013, 92 (02) : 335 - 350
[7] Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces
Yan, Zuomao
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2013, 30 (04) : 443 - 462
[8] Existence and controllability of fractional stochastic neutral functional integro-differential systems with state-dependent delay in Frechet spaces
Yan, Zuomao
Lu, Fangxia
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02): : 603 - 616
[9] A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces
Chalishajar, Dimplekumar
Anguraj, Annamalai
Malar, Kandasamy
Karthikeyan, Kulandhivel
[J]. MATHEMATICS, 2016, 4 (04):
[10] Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces
Yan, Zuomao
Zhang, Hongwu
[J]. ANNALES POLONICI MATHEMATICI, 2014, 110 (02) : 143 - 169

← 1 2 3 4 5 →