Thanin SitthiwiratthamMuhammad Aamir AliHŸseyin BudakSotiris K. NtouyasChanon Promsakon2025-03-102025-03-102022AIMS Mathematics2473698810.3934/math.20222172-s2.0-85121026239https://repository.dusit.ac.th//handle/123456789/4632In this paper, we prove some new Ostrowski type inequalities for differentiable harmonically convex functions using generalized fractional integrals. Since we are using generalized fractional integrals to establish these inequalities, therefore we obtain some new inequalities of Ostrowski type for Riemann-Liouville fractional integrals and k-Riemann-Liouville fractional integrals in special cases. Finally, we give some applications to special means of real numbers for newly established inequalities. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).All Open Access; Gold Open AccessGeneralized fractional integralsHarmonically convex functionsHermite-Hadamard inequalitiesArticleScopus