Existence and uniqueness of solution for a class of nonlinear fractional differential equations

被引：6
|
作者：
Ma, Shichang [2 ]
Xu, Yufeng [1 ]
Yue, Wei [2 ]
机构：
[1] Cent South Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China
[2] Cent South Univ, Sch Business, Changsha 410083, Hunan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
nonlinear fractional differential equations; general irregular boundary conditions; existence; fixed-point theorem; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; MODEL; SYSTEM;
D O I：
10.1186/1687-1847-2012-133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping principle. Moreover, the boundary condition is extended, therefore, some conclusions from other references are special cases of our results. MSC: 26A33, 34A08.
引用
收藏
页码：1 / 11
页数：11
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