Unbounded solution for a fractional boundary value problem

被引：6

作者：

Guezane-Lakoud, Assia ^{[1
]}

Kilicman, Adem ^{[2
,3
]}

机构：

[1] Badji Mokhtar Annaba Univ, Fac Sci, Dept Math, Annaba 23000, Algeria

[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

[3] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

integral condition; Caputo derivative; unbounded solution; existence of solution; Leray-Schauder nonlinear alternative; Guo-Krasnosel'skii fixed point theorem; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2014-154

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：15

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