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Unbounded solution for a fractional boundary value problem


Guezane-Lakoud, Assia and Kilicman, Adem (2014) Unbounded solution for a fractional boundary value problem. Advances in Difference Equations, 2014. art. no. 154. pp. 1-15. ISSN 1687-1839; ESSN: 1687-1847


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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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1186/1687-1847-2014-154
Publisher: SpringerOpen
Keywords: Integral condition; Caputo derivative; Unbounded solution; Existence of solution; Leray-Schauder nonlinear alternative; Guo-Krasnosel’skii fixed point theorem
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 15 Feb 2016 07:54
Last Modified: 15 Feb 2016 07:54
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2014-154
URI: http://psasir.upm.edu.my/id/eprint/35915
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