Desta, H.D.Budak, H.Kara, H.2024-08-232024-08-2320242619-9653https://doi.org/10.32323/ujma.1397051https://hdl.handle.net/20.500.12684/14653This paper delves into an inquiry that centers on the exploration of fractional adaptations of Milne-type inequalities by employing the framework of twice-differentiable convex mappings. Leveraging the fundamental tenets of convexity, Hölder’s inequality, and the power-mean inequality, a series of novel inequalities are deduced. These newly acquired inequalities are fortified through insightful illustrative examples, bolstered by rigorous proofs. Furthermore, to lend visual validation, graphical representations are meticulously crafted for the showcased examples. © 2024, Emrah Evren KARA. All rights reserved.en10.32323/ujma.1397051info:eu-repo/semantics/openAccessConvex functionFractional integralsMilne type inequalitiesTwice differentiableArticle7130372-s2.0-85188334711N/A