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：

暂无

中图分类号：

学科分类号：

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

共 50 条

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[3] Integro-differential fractional boundary value problem on an unbounded domain
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[9] Unbounded solutions to a boundary value problem of fractional order on the half-line
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[10] Solutions to boundary value problem of fractional order on unbounded domains in a Banach space
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