Positive solutions for a class of fractional differential equation multi-point boundary value problems with changing sign nonlinearity

被引：9
作者：
Jia Y. [1 ]
Zhang X. [1 ,2 ]
机构：
[1] School of Mathematics, Liaocheng University, Liaocheng, 252059, Shandong
[2] Department of Information Engineering, Jining Medical College, Jining, 272067, Shandong
来源：
Journal of Applied Mathematics and Computing | 2014年 / 47卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Fixed point theorem; Fractional differential equations; Multi-point boundary value problem; Positive solutions; Semipositone;
D O I：
10.1007/s12190-014-0758-5
中图分类号：
学科分类号：
摘要：
In this paper, we consider the multi-point boundary value problem of nonlinear fractional differential equation (Formula Presented.), (Formula Presented.) may change sign and may be singular at (Formula Presented.). We give the corresponding Green’s function for the boundary value problem and its some properties. Moreover, we derive an interval of (Formula Presented.) such that for any (Formula Presented.) lying in this interval, the semipositone boundary value problem has positive solutions. © 2014, Korean Society for Computational and Applied Mathematics.
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页码：15 / 31
页数：16
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