Positive solutions of fractional differential equation nonlocal boundary value problems

Advances in Difference Equations

Caozong Cheng¹  Jingjing Tan¹  Xinguang Zhang² 

[1] College of Applied Science, Beijing University of Technology, Beijing, P.R. China;Mathematics and Statistics, Curtin University of Technology, Perth, Australia

关键词: fractional differential equation;    boundary value problem;    fixed point theorem;    mixed monotone operators;    Riemann-Stieltjes integral;   

DOI  :  10.1186/s13662-015-0582-8

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY