Approximate controllability of fractional order semilinear systems with bounded delay

被引：206

作者：

Kumar, Surendra ^{[1
]}

Sukavanam, N. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 11期

关键词：

Approximate controllability; Infinite dimensional semilinear system; Fractional order delay system; Mild solution; Reachable set;

D O I：

10.1016/j.jde.2012.02.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, sufficient conditions are established for the approximate controllability of a class of semilinear delay control systems of fractional order. The existence and uniqueness of mild solution of the system is also proved. The results are obtained by using contraction principle and the Schauder fixed point theorem. Some examples are given to illustrate the theory. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：6163 / 6174

页数：12

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