International Journal of Differential Equations

Positive Solution to a Fractional Boundary Value Problem

A. Guezane-Lakoud and R. Khaldi

Full-text: Open access

Abstract

A fractional boundary value problem is considered. By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obtained.

Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 763456, 19 pages.

Dates
Received: 9 May 2011
Accepted: 26 June 2011
First available in Project Euclid: 25 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485313222

Digital Object Identifier
doi:10.1155/2011/763456

Mathematical Reviews number (MathSciNet)
MR2821249

Zentralblatt MATH identifier
1239.34006

Citation

Guezane-Lakoud, A.; Khaldi, R. Positive Solution to a Fractional Boundary Value Problem. Int. J. Differ. Equ. 2011 (2011), Article ID 763456, 19 pages. doi:10.1155/2011/763456. https://projecteuclid.org/euclid.ijde/1485313222


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