Some Fixed Point Theorems for F(ψ,φ)-Contractions and Their Application to Fractional Differential Equations

The main object of this paper is to establish some fixed point results for F(ψ,φ) -contractions in partially-ordered metric spaces. As an application of one of these fixed point theorems, we discuss the existence of a unique solution for a coupled system of higher-order fractional differential equations with multi-point boundary conditions. The results presented in this paper are shown to extend many recent results appearing in the literature.