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

Advances in Difference Equations

Lingling Zhang¹  Huimin Tian¹ 

[1] College of Mathematics, Taiyuan University of Technology, Taiyuan, China

关键词: fractional differential equations;    fixed point theorem;    mixed monotone operator;    positive solution;   

DOI  :  10.1186/s13662-017-1157-7

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY