Hezenci, F.Budak, H.2024-08-232024-08-2320231735-8299https://doi.org/10.30495/JME.2023.2589https://hdl.handle.net/20.500.12684/13858The authors of the paper propose a new method of investigation of an an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. With the help of this equality, we establish several Simpson-type inequalities for twice-differentiable convex functions by using conformable fractional integrals. Sundry significant inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. By using the specific selection of our results, we give several new and well-known results in the literature.en10.30495/JME.2023.2589info:eu-repo/semantics/closedAccessSimpson-type inequalityfractional conformable integralsfractional conformable derivativesfractional calculusconvex functionArticle173WOS:001125662900004Q4