Existence Of Positive Solutions In The Space Of Hölder Functions For A Class Of Nonlinear Fractional Differential Equations With Integral Boundary Conditions

Abstract

We study the existence of positive solutions for a fractional differential equation with integral boundary conditions. Our solutions are placed in the space of H & ouml;lder functions and the main tools used in the proof of the results are the classical Schauder fixed point theorem and a sufficient condition about the relative compactness in H & ouml;lder spaces. Moreover, some examples are shown illustrating the results.