Positive solutions for a high-order semipositone fractional differential equation with integral boundary conditions

被引：5
|
作者：
Wang Y. [1 ]
Yang Y. [1 ]
机构：
[1] School of Science, Jiangnan University
来源：
Journal of Applied Mathematics and Computing | 2014年 / 45卷 / 1-2期
关键词：
Boundary value problem; Fixed point theorem; Fractional differential equation; Positive solution; Riemann-Stieltjes integral;
D O I：
10.1007/s12190-013-0713-x
中图分类号：
学科分类号：
摘要：
In this paper, we consider the existence of positive solutions for a high-order semipositone fractional differential equation with Riemann-Stieltjes integral boundary conditions. By Krasnoselskii-Zabreiko fixed point theorem and some inequalities associated with Green's function, two new existence theorems are obtained in the case that the nonlinearity f is allowed to grow both superlinearly and sublinearly. Finally, two examples are given to illustrate the main results. © 2013 Korean Society for Computational and Applied Mathematics.
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收藏
页码：99 / 109
页数：10
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