Derives fractional inequalities in convex functions using ABK fractional integrals, suggesting improved approximations.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been created by changing the order of the fractional integral. Additionally, an example and a graphical depiction are supplied to elucidate the main conclusions of our study.
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Ahmed et al. (2026) studied this question.