Abstract
The primary goal of this research is to prove some new Hardy-type backward difference -conformable dynamic inequalities by employing product rule, integration by parts, chain rule and (gamma,a)-nabla Holder inequality on time scales. The inequalities proved here extend and generalize existing results in the literature. Further, in the case when gamma=1, we obtain some well-known time scale inequalities due to Hardy inequalities. Many special cases of the proposed results are obtained and analyzed such as new conformable fractional h-sum inequalities, new conformable fractional q-sum inequalities and new classical conformable fractional integral inequalities.