Approximate Controllability of Nonlocal Neutral Fractional Integro-Differential Equations with Finite Delay

被引：30

作者：

Jeet, Kamal ^{[1
]}

Bahuguna, D. ^{[1
]}

机构：

[1] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2016年 / 22卷 / 03期

关键词：

Controllability; Fractional differential equations; Finite delay; Neutral equations; Krasnoselskii's fixed point theorem; Semigroup theory; INFINITE DELAY; SYSTEMS;

D O I：

10.1007/s10883-015-9297-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we obtain a set of sufficient conditions to prove the approximate controllability for a class of nonlocal neutral fractional integro-differential equations, with time varying delays, considered in a Hilbert space. We also establish the existence of a mild solution of the system. The main tools used in our analysis are the theory of analytic semigroups, the theory of fractional powers of operators, alpha-norm, fractional calculus, and Krasnoselskii's fixed point theorem. An example is provided to illustrate the applicability of the main results.

引用

页码：485 / 504

页数：20

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