This article establishes an equality for the case of twicedifferentiable convex functions with respect to the conformable fractional integrals. With the help of this identity, we prove sundry midpointtype inequalities by twice-differentiable convex functions according to conformable fractional integrals. Several important inequalities are obtained by taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Using the specific selection of our results, we obtain several new and well-known results in the literature.