ON NONLOCAL PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：20
作者：
Dong, XiWang [1 ]
Wang, JinRong [1 ]
Zhou, Yong [2 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
来源：
OPUSCULA MATHEMATICA | 2011年 / 31卷 / 03期
基金：
中国国家自然科学基金;
关键词：
nonlocal problems; fractional differential equations; existence; generalized singular Gronwall inequality; fixed point method;
D O I：
10.7494/OpMath.2011.31.3.341
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence and uniqueness of solutions to the nonlocal problems for the fractional differential equation in Banach spaces. New sufficient conditions for the existence and uniqueness of solutions are established by means of fractional calculus and fixed point method under some suitable conditions. Two examples are given to illustrate the results.
引用
收藏
页码：341 / 357
页数：17
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