文章基本信息

标题：Unbounded solution for a fractional boundary value problem
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作者：Assia Guezane-Lakoud ; Adem Kılıçman
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：154
DOI：10.1186/1687-1847-2014-154
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper concerns the existence of unbounded positive solutions of a fractional boundary value problem on the half line. By means of the properties of the Green function and the compression and expansion fixed point theorem (Kwong in Fixed Point Theory Appl. 2008:164537, 2008), sufficient conditions are obtained to guarantee the existence of a solution to the posed problem. MSC:26A33, 34B15, 34B27.
关键词：integral condition ; Caputo derivative ; unbounded solution ; existence of solution ; Leray-Schauder nonlinear alternative ; Guo-Krasnosel’skii fixed point theorem