Hezenci, FatihBudak, Hueseyin2024-08-232024-08-2320241029-242Xhttps://doi.org/10.1186/s13660-024-03130-4https://hdl.handle.net/20.500.12684/14060In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conformable fractional integrals are used to derive such inequalities. Furthermore, sundry significant inequalities are obtained by taking advantage of the convexity, Holder inequality, and power-mean inequality. Finally, we provide our results by using special cases of obtained theorems.en10.1186/s13660-024-03130-4info:eu-repo/semantics/openAccessBullen-type inequalitiesConvex functionsFractional integralsRiemann-Liouville fractional integralsConformable fractional integralsHadamardArticle202412-s2.0-85189144080WOS:001197235000001Q2N/A