Hezenci, FatihBudak, Hüseyin2024-08-232024-08-2320231225-293X2288-6176https://doi.org/10.5831/HMJ.2023.45.2.340https://hdl.handle.net/20.500.12684/13701This article establishes an equality for the case of twice -differentiable convex functions with respect to the conformable fractional integrals. With the help of this identity, we prove sundry midpoint -type inequalities by twice-differentiable convex functions according to conformable fractional integrals. Several important inequalities are ob-tained by taking advantage of the convexity, the Hodlder inequality, and the power mean inequality. Using the specific selection of our results, we obtain several new and well-known results in the literature.en10.5831/HMJ.2023.45.2.340info:eu-repo/semantics/closedAccessmidpoint-type inequalityfractional conformable integralsfractional conformable derivativesfractional calculusconvex functionHermite-HadamardReal NumbersIntegralsMappingsArticle452340358WOS:001015925900011Q3