New existence results for nonlinear functional hybrid differential equations involving the ψ−Caputo fractional derivative

Abstract

In this manuscript, we are concerned with the existence result of nonlinear hybrid differential equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1). By applying Krasnoselskii fixed point theorem and some fractional analysis techniques, we prove our main result. As application, a nontrivial example is given to demonstrate the effectiveness of our theoretical result