Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems

被引：208

作者：

Debbouche, Amar ^{[2
]}

Baleanu, Dumitru ^{[1
,3
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, Ankara, Turkey

[2] Guelma Univ, Fac Sci, Dept Math, Guelma, Algeria

[3] Inst Space Sci, R-76900 Magurele, Romania

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期

关键词：

Fractional integro-differential systems; Controllability; (alpha; u)-resolvent family; Non local and impulsive conditions; Fixed point theorem; EXISTENCE; EQUATIONS; UNIQUENESS;

D O I：

10.1016/j.camwa.2011.03.075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the controllability result of a class of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems in a Banach space has been established by using the theory of fractional calculus, fixed point technique and also we introduced a new concept called (alpha, u)-resolvent family. As an application that illustrates the abstract results, an example is given. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1442 / 1450

页数：9

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