On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions

Abstract

We discuss some existence criteria for a new category of the Caputo conformable differential inclusion furnished with four-point mixed Riemann–Liouville conformable integro-derivative boundary conditions. In this way, we employ some analytical techniques on α-ψ-contractive mappings and operators having the approximate endpoint property to reach desired theoretical results. Finally, we provide an example to illustrate our last main result. © 2020, The Author(s).