New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

被引：120

作者：

Ravichandran, C. ^{[1
]}

Valliammal, N. ^{[2
]}

Nieto, Juan J. ^{[3
]}

机构：

[1] Kongunadu Arts & Sci Coll, PG & Res Dept Math, Coimbatore 641029, Tamil Nadu, India

[2] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, Tamil Nadu, India

[3] Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 03期

关键词：

FUNCTIONAL-DIFFERENTIAL EQUATIONS; APPROXIMATE CONTROLLABILITY; FIR FILTER; INCLUSIONS; DESIGN; ORDER; EXISTENCE;

D O I：

10.1016/j.jfranklin.2018.12.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article deals with the use of Krasnoselskii's fixed point theorem and Leray-Schauder alternative theorem combined with resolvent operator and some analytical methods to investigate the exact controllability and continuous dependence of a class of neutral fractional integro-differential systems with state-dependent delay in Banach spaces. An application to exemplify the concept is provided at the end. (C) 2018 Published by Elsevier Ltd on behalf of The Franklin Institute.

引用

页码：1535 / 1565

页数：31

共 50 条

[1] Agarwal R. P., 2001, CAMBRIDGE TRACTS MAT, V141
[2] CONTROLLABILITY OF FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
Aissani, Khalida
Benchohra, Mouffak
[J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2016, 28 (02) : 149 - 167
[3] [Anonymous], 2012, J ABST DIFF EQS APPL
[4] [Anonymous], 2003, FIXED POINT THEOR-RO, DOI DOI 10.1007/978-0-387-21593-8
[5] [Anonymous], 1974, FIXED POINT THEOREM
[6] [Anonymous], 2013, Nonlinear Stud
[7] Controllability Problem of Fractional Neutral Systems: A Survey
Babiarz, Artur
Niezabitowski, Michal
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
[8] Beyrouthy T, 2011, P IEEE RAP SYST PROT, P59, DOI 10.1109/RSP.2011.5929976
[9] Integrated technology fractional order proportional-integral-derivative design
Caponetto, Riccardo
Dongola, Giovanni
Maione, Guido
Pisano, A.
[J]. JOURNAL OF VIBRATION AND CONTROL, 2014, 20 (07) : 1066 - 1075
[10] Existence results for fractional neutral integro-differential equations with state-dependent delay
Carvalho dos Santos, Jose Paulo
Arjunan, M. Mallika
Cuevas, Claudio
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1275 - 1283

← 1 2 3 4 5 →