Sitthiwirattham, ThaninNonlaopon, KamsingAli, Muhammad AamirBudak, Hüseyin2023-07-262023-07-2620222504-3110https://doi.org/10.3390/fractalfract6030175https://hdl.handle.net/20.500.12684/12762In this paper, we prove some new Newton's type inequalities for differentiable convex functions through the well-known Riemann-Liouville fractional integrals. Moreover, we prove some inequalities of Riemann-Liouville fractional Newton's type for functions of bounded variation. It is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature. Finally, we give some examples with graphs and show the validity of newly established inequalities.en10.3390/fractalfract6030175info:eu-repo/semantics/openAccessSimpson's 3/8 Formula; Fractional Calculus; Convex FunctionsSimpsons TypeArticle632-s2.0-85127553397WOS:000776501900001Q2Q1