Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 15 3 2024 03 01 Inequalities of Simpson-type for twice-differentiable convex functions via conformable fractional integrals 1 10 8263 10.22075/ijnaa.2023.28568.3928 EN Fatih Hezenci Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye Hasan Kara Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye Huseyin Budak Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye Journal Article 2022 09 29 This paper proves an equality for the case of twice-differentiable convex functions involving conformable fractional integrals. Using the established equality, we give new Simpson-type inequalities for the case of twice-differentiable convex functions via conformable fractional integrals. We also consider some special cases which can be deduced from the main results. Simpson type inequality fractional conformable integrals Fractional calculus convex function https://ijnaa.semnan.ac.ir/article_8263_1378986f3f8e57d84a32e055ac7cc01c.pdf