Thanin SitthiwiratthamKamsing NonlaoponMuhammad Aamir AliHŸseyin Budak2025-03-102025-03-102022Fractal and Fractional2504311010.3390/fractalfract60301752-s2.0-85127553397https://repository.dusit.ac.th//handle/123456789/4616In this paper, we prove some new NewtonÕs type inequalities for differentiable convex functions through the well-known RiemannÐLiouville fractional integrals. Moreover, we prove some inequalities of RiemannÐLiouville fractional NewtonÕs 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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open Accessconvex functionsfractional calculusSimpsonÕs 3/8 formulaArticleScopus