Bin-Mohsin, BandarAwan, Muhammad UzairJaved, Muhammad ZakriaKhan, Awais GulBudak, HuseyinMihai, Marcela V.Noor, Muhammad Aslam2024-08-232024-08-2320232073-8994https://doi.org/10.3390/sym15051012https://hdl.handle.net/20.500.12684/13803The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set of fractional operators is introduced that uses the extended generalized Mittag-Leffler function E-mu,alpha,l(gamma,delta, k,c) (tau; p) as a kernel in the interval domain. Additionally, a new form of Atangana-Baleanu operator is defined using the same kernel, which unifies multiple existing integral operators. By varying the parameters in E-mu,alpha,l(gamma,delta, k,c)(tau; p), several new fractional operators are obtained. This study then utilizes the generalized AB integral operators and the preinvex interval-valued property of functions to establish new Hermite-Hadamard, Pachapatte, and Hermite-Hadamard-Fejer inequalities. The results are supported by numerical examples, graphical illustrations, and special cases.en10.3390/sym15051012info:eu-repo/semantics/openAccessHermite-Hadamard inequalitypachpatte inequalityMittag-Lefflerfractional integralspreinvex functionFejerConvex-FunctionsInequalitiesGeneralized AB-Fractional Operator Inclusions of Hermite-Hadamard's Type via Fractional IntegrationArticle1552-s2.0-85160571251WOS:000997817600001Q2Q2