Fractional integral operators have emerged as a modern foundation for establishing novel integral inequalities, particularly due to their ability to extend various classical results. This work presents new integral inequalities within the context of weighted integrals, broadening and refining Ostrowski-type inequalities for differentiable (h, m)-convex functions modified of the second type. Additionally, as a consequence of our findings, we derive specific results for the Caputo and Atangana-Baleanu fractional integral operators.