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

页码：1 / 11

页数：11

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