Unbounded solution for a fractional boundary value problem

Advances in Difference Equations

Adem Klman¹  Assia Guezane-Lakoud² 

[1] Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), Serdang, Malaysia;Mathematics Department, Faculty of Sciences, Badji Mokhtar Annaba University, Annaba, Algeria

关键词: integral condition;    Caputo derivative;    unbounded solution;    existence of solution;    Leray-Schauder nonlinear alternative;    Guo-Krasnosel’skii fixed point theorem;   

DOI  :  10.1186/1687-1847-2014-154

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY