UNIQUENESS OF POSITIVE SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION VIA A FIXED POINT THEOREM OF A SUM OPERATOR

被引：0

作者：

Yang, Chen ^{[1
]}

Zhai, Chengbo ^{[2
]}

机构：

[1] Shanxi Univ, Coll Business, Dept Math, Taiyuan 030031, Shanxi, Peoples R China

[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Riemann-Liouville fractional derivative; positive solution; fractional differential equation; existence and uniqueness; fixed point theorem; BOUNDARY-VALUE PROBLEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary-value problems. Our analysis relies on a fixed point theorem of a sum operator. Our results guarantee the existence of a unique positive solution, and can be applied for constructing an iterative scheme for obtaining the solution.

引用

页数：8

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