Hezenci, FatihBudak, Huseyin2024-08-232024-08-2320231664-23681664-235Xhttps://doi.org/10.1007/s13324-023-00846-2https://hdl.handle.net/20.500.12684/14454This paper proves an equality for the case of differentiable convex functions including the conformable fractional integrals. By using this equality, we establish several parameterized inequalities with the help of the conformable fractional integrals. Several inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Furthermore, we present previously achieved results and new results by using special cases of the obtained theorems.en10.1007/s13324-023-00846-2info:eu-repo/semantics/closedAccessHermite-Hadamard inequalitiesSimpson's inequalityBullen's inequalityFractional conformable integralsFractional calculusConvex functionHermite-HadamardDifferentiable MappingsReal NumbersArticle1352-s2.0-85173777074WOS:001076699600001Q2Q1