Unal, CihanHezenci, FatihBudak, Huseyin2025-03-232025-03-2320231029-242Xhttps://doi.org/10.1186/s13660-023-02996-0https://hdl.handle.net/11486/5132The 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.eninfo:eu-repo/semantics/openAccessNewton formulaFractional calculusConformable fractional integralsArticle2023110.1186/s13660-023-02996-02-s2.0-85162034229Q1WOS:001009215400001Q1