Unbounded solution for a fractional boundary value problem

被引：0
|
作者：
Assia Guezane-Lakoud
Adem Kılıçman
机构：
[1] Badji Mokhtar Annaba University,Mathematics Department, Faculty of Sciences
[2] Universiti Putra Malaysia (UPM),Department of Mathematics and Institute of Mathematical Research
来源：
Advances in Difference Equations | / 2014卷
关键词：
integral condition; Caputo derivative; unbounded solution; existence of solution; Leray-Schauder nonlinear alternative; Guo-Krasnosel’skii fixed point theorem;
D O I：
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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.
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