Existence and nonexistence of positive solutions for fractional-order two-point boundary value problems

Advances in Difference Equations

Xiaoping Zhang¹  Yongping Sun¹ 

[1] College of Electron and Information, Zhejiang University of Media and Communications, Hangzhou, China

关键词: positive solution;    existence and nonexistence;    fractional differential equations;    boundary value problems;    fixed point theorem;   

DOI  :  10.1186/1687-1847-2014-53

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to establish some results on the existence and nonexistence of positive solutions for a type of nonlinear fractional-order two-point boundary value problems. The main tool is a fixed point theorem of the cone expansion and compression of functional type due to Avery et al. Some examples are presented to illustrate the availability of the main results. MSC:34A08, 34B10, 34B15, 34B18.

【 授权许可】

CC BY