Budak, HuseyinHezenci, FatihKara, Hasan2021-12-012021-12-0120211687-1847https://doi.org/10.1186/s13662-021-03463-0https://hdl.handle.net/20.500.12684/10262In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters. By using this established identity, we offer some generalized inequalities for differentiable co-ordinated convex functions with a rectangle in the plane R2. Furthermore, by special choice of parameters in our main results, we obtain several well-known inequalities such as the Ostrowski inequality, trapezoidal inequality, and the Simpson inequality for Riemann and Riemann-Liouville fractional integrals.en10.1186/s13662-021-03463-0info:eu-repo/semantics/openAccessSimpson inequalityOstrowski inequalityCo-ordinated convex functionGeneralized fractional integrals26D0726D1026D1526B1526B25Hadamard-Type InequalitiesDifferentiable MappingsReal NumbersArticle20211WOS:000668582400005Q1