Ostrowski-type inequalities pertaining to Atangana–Baleanu fractional operators and applications containing special functions

Abstract The objective of this article is to incorporate the concept Ostrowski inequality with Atangana–Baleanu fractional integral operator. A novel identity for twice-differentiable functions established after a rigorous investigation several basic definitions and existing ideas related inequalities calculus. Following that, numerous Ostrowski-type are provided based on identity, which uses Mittag–Leffler as its kernel structure. Some specific applications, such q-digamma modified Bessel functions, also investigated. Choosing $s=1$ s = 1 , we analyze new results convex special cases. Our findings corroborate some well-documented inequalities.