Positive solutions of singular fractional order differential system with Riemann-Stieltjes integral boundary condition

Advances in Difference Equations

Jingjing Tan¹ 

[1] School of Mathematics and Information Science, Weifang University, Weifang, P.R. China

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

DOI  :  10.1186/s13662-016-0964-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of positive solutions to a class of higher-order nonlinear fractional functional differential system with Riemann-Stieltjes integral boundary conditions. Our method relies upon the upper and lower solutions and the Schauder fixed point theorem. Furthermore, we constructed an iterative scheme to approximate the positive solution. We also give an example to illustrate the main results.

【 授权许可】

CC BY