Azzouz, NoureddineBenaissa, BouharketBudak, Huseyin2025-10-112025-10-1120240354-5180https://doi.org/10.2298/FIL2425755Ahttps://hdl.handle.net/20.500.12684/21639In this paper, we first introduce a new fractional derivatives and integrals called generalized psi-conformable derivative and generalized psi-conformable integral operators, respectively. We also show that these operators generalize various well-known fractional integral operators. Then, we present several properties of these operators including semi-group property. Moreover, we apply these operators to obtain a new Hermite-Hadamard-type inequality for convex functions. Furthermore, we obtain corresponding midpoint and trapezoid type inequalities for functions whose derivatives in absolute value are convex.en10.2298/FIL2425755Ainfo:eu-repo/semantics/openAccessFractional conformable integralsfractional conformable derivativeHermite-Hadamard inequalityArticle3825875587722-s2.0-85213959651WOS:001389957200001Q3Q2