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

被引：117

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

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