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 alpha-psi-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.