Dahmani, ZoubirKaddar, DjamalSarikaya, Mehmet Zeki2025-10-112025-10-1120241847-9677https://doi.org/10.7153/fdc-2024-14-11https://hdl.handle.net/20.500.12684/21427This paper extends classical results on integral inequalities involving monotone functions to the domain of Riemann-Liouville fractional integrals with positive arbitrary order a . By employing a unified framework, our approach provides a more generalized understanding of the interplay between monotonicity and integrability in the case of fractional integration. We review classical results, introduce Riemann-Liouville integrals, and establish the fractional integral extensions. Our main results are presented, with discussions on their applications, contributing to a broader comprehension of this type of inequalities in mathematical analysis and its applications. © 2025 Elsevier B.V., All rights reserved.en10.7153/fdc-2024-14-11info:eu-repo/semantics/openAccessIntegral InequalityMonotone FunctionRiemann-liouville IntegralArticle1422472542-s2.0-85214575623Q3