Mohammed, Pshtiwan OthmanSarikaya, Mehmet Zeki2021-12-012021-12-0120200377-04271879-1778https://doi.org/10.1016/j.cam.2020.112740https://hdl.handle.net/20.500.12684/10598In this article, some new generalized fractional integral inequalities of midpoint and trapezoid type for twice differentiable convex functions are obtained. In view of this, we obtain new integral inequalities of midpoint and trapezoid type for twice differentiable convex functions in a form classical integral and Riemann-Liouville fractional integrals. Finally, we apply our new inequalities to construct inequalities involving moments of a continuous random variable. (C) 2020 The Author(s). Published by Elsevier B.V.en10.1016/j.cam.2020.112740info:eu-repo/semantics/openAccessGeneralized fractional integralConvex functionIntegral inequalitiesRandom variableHadamard TypeArticle3722-s2.0-85078288867WOS:000517659000021Q2Q1