On global solutions to fractional functional differential equations with infinite delay in Frechet spaces

被引：11

作者：

Chang, Yong-Kui ^{[1
]}

Arjunan, M. Mallika ^{[2
]}

N'Guerekata, G. M. ^{[3
]}

Kavitha, V. ^{[2
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 7300070, Gansu, Peoples R China

[2] Karunya Univ, Dept Math, Coimbatore 641114, Tamil Nadu, India

[3] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

来源：

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

关键词：

Fractional differential equations; alpha-resolvent family; Phase space axioms; Controllability; EVOLUTION-EQUATIONS; BANACH-SPACES; MILD SOLUTIONS; CONTROLLABILITY; UNIQUENESS; EXISTENCE; SYSTEMS; INCLUSIONS; ORDER;

D O I：

10.1016/j.camwa.2011.03.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate global uniqueness results for fractional functional differential equations with infinite delay in Frechet spaces. We shall rely on a nonlinear alternative of Leray-Schauder type in Frechet spaces due to Frigon and Granas. The results are obtained by using the a-resolvent family (S-alpha(t))(t >= 0) on a complex Banach space X combined with the above-mentioned fixed point theorem. As an application, a controllability result with one parameter is also provided to illustrate the theory. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1228 / 1237

页数：10

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