Bas, UmutBudak, HuseyinKara, Hasan2025-10-112025-10-1120241787-24051787-2413https://doi.org/10.18514/MMN.2024.4506https://hdl.handle.net/20.500.12684/21668In the current investigation, we acquire the upper and lower bounds for inequalities of midpoint-type and trapezoid-type involving conformable fractional integral operators with the help of the mappings whose second derivatives are bounded. We support the established inequalities with examples. Moreover, we use graphs to demonstrate the correctness of the given examples. What's more, we prove the Hermite-Hadamard inequality, which includes conformable fractional integrals, with the aid of condition f ' (a + b t) f ' (t) >= 0, t is an element of a, a+b than the convexity of function.en10.18514/MMN.2024.4506info:eu-repo/semantics/openAccessHermite-Hadamard inequalityconformable fractional integralsbounded functionsArticle2522-s2.0-85212296538WOS:001402251100006Q2Q2