Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682215320240301Inequalities of Simpson-type for twice-differentiable convex functions via conformable fractional integrals110826310.22075/ijnaa.2023.28568.3928ENFatih HezenciDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye0000-0003-1008-5856Hasan KaraDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye0000-0002-2075-944XHuseyin BudakDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Turkiye0000-0001-8843-955XJournal Article20220929This 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.https://ijnaa.semnan.ac.ir/article_8263_1378986f3f8e57d84a32e055ac7cc01c.pdf