uenal, CihanHezenci, FatihBudak, Hueseyin2024-08-232024-08-2320231029-242Xhttps://doi.org/10.1186/s13660-023-02996-0https://hdl.handle.net/20.500.12684/14063The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several Newton-type inequalities with the aid of Holder and power-mean inequalities. Furthermore, several new results are given by using special choices of the obtained inequalities. Finally, we give several inequalities of conformable fractional Newton-type for functions of bounded variation.en10.1186/s13660-023-02996-0info:eu-repo/semantics/openAccessNewton formulaFractional calculusConformable fractional integralsArticle202312-s2.0-85162034229WOS:001009215400001Q2Q1