Positive solutions of fractional differential equation nonlocal boundary value problems

被引：0
|
作者：
Jingjing Tan
Caozong Cheng
Xinguang Zhang
机构：
[1] Beijing University of Technology,College of Applied Science
[2] Curtin University of Technology,Mathematics and Statistics
[3] Yantai University,School of Mathematical and Informational Sciences
来源：
Advances in Difference Equations | / 2015卷
关键词：
fractional differential equation; boundary value problem; fixed point theorem; mixed monotone operators; Riemann-Stieltjes integral;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence and uniqueness of positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary conditions. We firstly convert the problem to an equivalent integral equation, and then by applying a fixed point theorem of a sum operator, the existence and uniqueness of positive solutions is established. Furthermore, an iterative scheme to approximate the solution is constructed and an example is given to illuminate the application of the main results.
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