The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order 1 < α < 2

被引：141

作者：

Shu, Xiao-Bao ^{[1
]}

Wang, Qianqian ^{[1
]}

机构：

[1] Hunan Univ, Dept Math, Changsha 410082, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 06期

关键词：

Fractional differential equations; Mild solution; Fixed point theorem; Non local conditions; INTEGRODIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; CAUCHY-PROBLEM; SYSTEMS;

D O I：

10.1016/j.camwa.2012.04.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is mainly concerned with the existence of mild solutions for fractional differential equations with nonlocal conditions of order 1 < alpha < 2. The results are obtained by the fixed point theorem combined with solutions operator theorems. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2100 / 2110

页数：11

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The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order 1 &lt; α &lt; 2

The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order 1 < α < 2