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Abstract
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This paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of the
obtained identities, we present new trapezoid-type and midpoint-type inequalities via convex functions in the context of the
conformable fractional integrals. New inequalities are obtained by taking advantage of the convexity property, power mean
inequality, and Hölder’s inequality. We show that this new family of inequalities generalizes some previous research studies by
special choices. Furthermore, new other relevant results with trapezoid-type and midpoint-type inequalities are obtained.
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