Abstract
In this work, we prove several new $ (\gamma, a) $-nabla Bennett and Leindler dynamic inequalities on time scales. The results proved here generalize some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using integration by parts, chain rule and Hölder inequality for the $ (\gamma, a) $-nabla-fractional derivative on time scales.