Vivas-Cortez, Miguel J. J.Kara, HasanBudak, HüseyinAli, Muhammad AamirChasreechai, Saowaluck2023-07-262023-07-2620222391-5455https://doi.org/10.1515/math-2022-0477https://hdl.handle.net/20.500.12684/12619In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by using the newly defined integrals. The fundamental benefit of these inequalities is that these can be turned into classical H-H inequalities and Riemann-Liouville fractional H-H inequalities, and new k k -Riemann-Liouville fractional H-H inequalities can be obtained for co-ordinated convex IVFs without having to prove each one separately.en10.1515/math-2022-0477info:eu-repo/semantics/openAccessH-H Inclusion; Ivfs; Fractional Integral; Co-Ordinated Convex; Integral InclusionsInequalities; CalculusArticle201188719032-s2.0-85146529981WOS:000914647100001Q3Q1