Munir, ArslanBudak, HuseyinFaiz, IrzaQaisar, Shahid2024-08-232024-08-2320240354-5180https://doi.org/10.2298/FIL2410295Mhttps://hdl.handle.net/20.500.12684/13890Several scholars are interested in fractional operators with integral inequalities. Due to its characteristics and wide range of applications in science, engineering fields, artificial intelligence and fractional inequalities should be employed in mathematical investigations. In this paper, we establish the new identity for the Caputo-Fabrizio fractional integral operator. By utilizing this identity, the generalization of Simpson type inequality for ( alpha, m ) -convex functions via the Caputo-Fabrizio fractional integral operator. Furthermore, we also include the applications to special means, q -digamma functions, Simpson formula, Matrix inequalities, Modified Bessel function, and mind -point formula. These applications have given a new dimension to scholars.en10.2298/FIL2410295Minfo:eu-repo/semantics/closedAccessSimpson type inequalities( alpha, m )-convex functionFractional integralsHolders inequalityPower-mean inequalityHermite-Hadamard TypeDifferentiable MappingsReal NumbersConvex-FunctionsArticle3810329533122-s2.0-85191297703WOS:001240873800001Q3N/A