Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

被引：14

作者：

Zhang, Lingling ^{[1
]}

Tian, Huimin ^{[1
,2
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, 79 Yingze West Rd, Taiyuan 030024, Shanxi, Peoples R China

[2] Taiyuan Univ Technol, Coll Mech, 79 Yingze West Rd, Taiyuan 030024, Shanxi, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

fractional differential equations; fixed point theorem; mixed monotone operator; positive solution; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1186/s13662-017-1157-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, the existence and uniqueness of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are discussed. By applying some fixed point theorems on cone, we gain a unique positive solution and construct two iterative sequences to approximate the solution. Moreover, as applications of our main results, some examples are also presented.

引用

页数：19

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