Controllability for a class of fractional neutral integro-differential equations with unbounded delay

被引：51

作者：

Vijayakumar, V. ^{[1
]}

Selvakumar, A. ^{[1
]}

Murugesu, R. ^{[2
]}

机构：

[1] Info Inst Engn, Dept Math, Coimbatore 641107, Tamil Nadu, India

[2] SRMV Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷

关键词：

Exact controllability; Fractional equations; Integro-differential equations; Neutral equations; Non local conditions; Mild solutions; Resolvent operators; FUNCTIONAL-DIFFERENTIAL INCLUSIONS; CAUCHY-PROBLEM; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.amc.2014.01.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of fractional neutral integro-differential equations with unbounded delay in Banach spaces. This paper deals with the exact controllability for fractional integro-differential neutral control systems. First, we establish a new set of sufficient conditions for the exact controllability of nonlinear fractional systems by using a fixed point analysis approach. Further, we extend the result to study the exact controllability concept with nonlocal conditions. Examples are provided to illustrate our main results. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：303 / 312

页数：10

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