Unbounded solution for a fractional boundary value problem

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 conditio...

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Bibliographic Details
Main Authors: Guezane-Lakoud, Assia, Kilicman, Adem
Format: Article
Published: SpringerOpen 2014
Online Access:http://psasir.upm.edu.my/id/eprint/35915/
http://www.advancesindifferenceequations.com/content/2014/1/154/abstract
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Summary: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.