文章基本信息

标题：Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity
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作者：Jiankun He ; Mei Jia ; Xiping Liu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：49
DOI：10.1186/s13662-018-1465-6
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate the existence of positive solutions for a class of high order fractional differential equation integral boundary value problems with changing sign nonlinearity. By applying cone expansion and cone compression fixed point theorem, we have obtained and proved theorems related to the existence of positive solutions, which highlight the influences of the parameters in different ranges on the existence of positive solutions. Finally, we also give some examples to illustrate our main results.
关键词：high order Riemann-Liouville fractional derivative ; changing sign nonlinearity ; Riemann-Stieltjes integral boundary value problems ; fixed point theorem