Abstract
Discrete fractional calculus (DFC) is significant for neural networks, complex dynamic systems and frequency response analysis approaches. In contrast with the continuous-time frameworks, fewer outcomes are accessible for discrete fractional operators. This study investigates some major consequences of two sorts of inequalities by considering discrete Atangana-Baleanu (AB)fractional operator having (h) over bar -discrete generalized Mittag-Leffler kernels in the sense of Riemann type (ABR). Certain novel versions of reverse Minkowski and related Holder-type inequalities via discrete AB-fractional operators having (h) over bar -discrete generalized Mittag-Leffler kernels are given. Moreover, several other generalizations can be generated for nabla (h) over bar -fractional sums. The proposing discretization is a novel form of the existing operators that can be provoked by some intriguing features of chaotic systems to design efficient dynamics description in short time domains. Furthermore, by combining two mechanisms, numerous new special cases are introduced.