Positivity for integral boundary value problems of fractional differential equations with two nonlinear terms

Abstract

We investigate a class of integral boundary value problems of fractional differential equations with two nonlinear terms, one is non-monotone and the other contain fractional derivative. Existence of positive solutions is obtained by the method of upper and lower solutions and Schauder fixed point theorem and unique result is presented from Banach contraction mapping principle. Several examples are given to show the applicability of our main results.