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
收藏
页码：1535 / 1565
页数：31
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