Positive solutions for a fractional boundary value problem

Abstract

C o m m u n .Fa c .S c i.U n iv .A n k .S e rie s A 1 Vo lu m e 6 3 , N u m b e r 2 , P a g e s 1 7 7 -1 8 7 (2 0 1 4 ) IS S N 1 3 0 3 -5 9 9 1 POSITIVE SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEMA. GUEZANE-LAKOUD, S. KOUACHI AND F. ELLAGGOUNE Abstract. We discuss the existence of positive solutions for a fractional boundary value problem by the help of some …xed point theorems and under suitable conditions on the nonlinear term. Two examples are also included to illustrate that the corresponding assumptions are satis…ed.