Mohammed, Pshtiwan OthmanZeng, ShengdaBaleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-05-272025-09-182022-05-272025-09-182020Baleanu, Dumitru; Mohammed, Pshtiwan Othman; Zeng, Shengda (2020). "Inequalities of trapezoidal type involving generalized fractional integrals", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 2975-2984.1110-01682090-2670https://doi.org/10.1016/j.aej.2020.03.039https://hdl.handle.net/20.500.12416/13623Zeng, Shengda/0000-0003-1818-842X; Mohammed, Pshtiwan/0000-0001-6837-8075During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for lambda(phi)-preinvexfunctions, which are differentiable and twice differentiable, are established. Then, by employing those results, we explore the new estimates on trapezoidal type inequalities for classical integral and Riemann-Liouville fractional integrals, respectively. Finally, we apply our new inequalities to construct inequalities involving moments of a continuous random variable. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.eninfo:eu-repo/semantics/openAccessGeneralized Fractional IntegralPreinvex FunctionIntegral InequalitiesArticle10.1016/j.aej.2020.03.039