Baleanu, DumitruEtemad, SinaRezapour, Shahram2022-09-302022-09-302020Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram (2020). "On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions", Advances in Difference Equations, Vol. 2020, No. 1.1687-1839http://hdl.handle.net/20.500.12416/5790We 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).eninfo:eu-repo/semantics/openAccessApproximate Endpoint PropertyMixed Integro-Derivative ConditionsThe Caputo Conformable DerivativeΑ-Ψ-Contractive MappingsArticle2020110.1186/s13662-020-02938-w