POSITIVE SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEM

Year 2014, Volume: 63 Issue: 2, 177 - 187, 01.08.2014

A. Guezane-lakoud S. Kouachı F. Ellaggoune

https://doi.org/10.1501/Commua1_0000000722

Abstract

We discuss the existence of positive solutions for a fractional boundary value problem by the help of some fixed point theorems and under suitableconditions on the nonlinear term. Two examples are also included to illustratethat the corresponding assumptions are satisfied

Keywords

Fractional boundary value problem, positivity of solution, fixed pointtheorem

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• Current address : A. Guezane-Lakoud andS. Kouachi; Laboratory of Advanced Materials, Fac- ulty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, ALGERIA, F. Ellaggoune; Laboratory of Applied Mathematics and Modeling, University 8 mai 1945 - Guelma, P.O. Box 401, Guelma 24000, ALGERIA