Existence and nonexistence results for a system of integral boundary value problems with parametric dependence

Abstract

In this paper, we are concerned with a class of systemof nonlinear singular fractional differential equations with integral boundaryconditions. More precisely, we establish sufficient conditionsfor existence, multiplicity and nonexistence of positive solutions. Theresults are derived in terms of different values of the parameters. Our approach relies on theKrasnoselskii's fixed point theorem. Some examples are given to illustrateour main results.