Budak, HuseyinHyder, Abd-Allah2024-08-232024-08-2320232473-6988https://doi.org/10.3934/math.20231572https://hdl.handle.net/20.500.12684/13782In this research article, we present novel extensions of Milne type inequalities to the realm of Riemann-Liouville fractional integrals. Our approach involves exploring significant functional classes, including convex functions, bounded functions, Lipschitzian functions and functions of bounded variation. To accomplish our objective, we begin by establishing a crucial identity for differentiable functions. Leveraging this identity, we subsequently derive new variations of fractional Milne inequalities.en10.3934/math.20231572info:eu-repo/semantics/openAccessMilne type inequalitiesconvex functionfractional integralsbounded functionfunction of bounded variationDifferentiable MappingsSimpsons TypeConvex-FunctionsReal NumbersArticle81230760307762-s2.0-85176424367WOS:001133603500006Q2Q1