Haider, WaliBudak, HuseyinShehzadi, AsiaHezenci, FatihChen, Haibo2024-08-232024-08-2320241687-2770https://doi.org/10.1186/s13661-024-01855-1https://hdl.handle.net/20.500.12684/14056In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of tempered fractional integrals. The research comprehensively examines significant functional classes, including convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation.en10.1186/s13661-024-01855-1info:eu-repo/semantics/openAccessInequalities of Milne typeFractional versionTempered fractional integralsConvex functionsDifferentiable MappingsArticle202412-s2.0-85189895417WOS:001199720800001Q3N/A