Hezenci, FatihVivas-cortez, MiguelBudak, Huseyin2025-10-112025-10-1120250218-348X1793-6543https://doi.org/10.1142/S0218348X24501378https://hdl.handle.net/20.500.12684/21796We prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite-Hadamard-, Simpson-, and Bullen-type inequalities which are proved in earlier published papers. More precisely, some inequalities are acquired by taking advantage of the convexity, the Holder, and the power mean inequalities. Finally, examples are given to illustrate the investigated results.en10.1142/S0218348X24501378info:eu-repo/semantics/closedAccessOstrowski-Type InequalityHermite-Hadamard-Type InequalitySimpson-Type InequalityBullen-Type InequalityFractional Conformable IntegralsFractional CalculusConvex FunctionArticle3332-s2.0-105003819673WOS:001347079600001Q1Q1