Budak, HuseyinUnal, CihanHezenci, Fatih2026-04-252026-04-2520251787-24051787-2413https://doi.org/10.18514/MMN.2025.4846https://hdl.handle.net/11486/8529In the present article, an equality is established for the case of differentiable convex functions associated with the conformable fractional integrals. With the help of this equality, several parameterized inequalities are proved by using the conformable fractional integrals. More precisely, some inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Moreover, previously achieved results and new results are given by using special cases of the obtained theorems.eninfo:eu-repo/semantics/openAccessHermite-Hadamard-type inequalitiesSimpson-type inequalitiesBullen-type inequalitiesfractional conformable integralsfractional calculusconvex functionArticle26263565110.18514/MMN.2025.48462-s2.0-105030264249Q2WOS:001648012400006Q20000-0001-8843-955X