Haider, WaliBudak, HuseyinShehzadi, AsiaHezenci, FatihChen, Haibo2025-10-112025-10-1120241664-23681664-235Xhttps://doi.org/10.1007/s13324-024-00958-3https://hdl.handle.net/20.500.12684/22039In this research, we define an essential identity for differentiable functions in the framework of tempered fractional integral. By utilizing this identity, we deduce several modifications of fractional Milne-type inequalities. We provide novel expansions of Milne-type inequalities in the domain of tempered fractional integrals. The investigation emphasises important functional categories, including convex functions, bounded functions, Lipschitzian functions, and functions with bounded variation.en10.1007/s13324-024-00958-3info:eu-repo/semantics/closedAccessInequalities of Milne-typeFractional versionTempered fractional integralsConvex functionsArticle1452-s2.0-85201289797WOS:001290713700001Q1Q1