Kösem, PınarKara, HasanBudak, HüseyinAli, Muhammad AamirNonlaopon, Kamsing2023-07-262023-07-2620222073-8994https://doi.org/10.3390/sym14081526https://hdl.handle.net/20.500.12684/12676In this paper, firstly, we present an integral identity for functions of two variables via Riemann-Liouville fractional integrals. Then, a Newton-type inequality via partially differentiable coordinated convex mappings is derived by taking the absolute value of the obtained identity. Moreover, several inequalities are obtained with the aid of the Holder and power mean inequality. In addition, we investigate some Newton-type inequalities utilizing mappings of two variables with bounded variation. Finally, we gave some mathematical examples and their graphical behavior to validate the obtained inequalities.en10.3390/sym14081526info:eu-repo/semantics/openAccessNewton-Type Inequality; Fractional Calculus; Co-Ordinated Convex Functions; Bounded Variation Functions; Riemann Stieltjes IntegralsHadamard-Type Inequalities; Simpson Type; IntegralsArticle1482-s2.0-85137410899WOS:000845195100001Q2Q2