We prove new Hardy-type α-conformable dynamic inequalities on time
scales. Our results are proved by using Keller's chain rule, the integration by
parts formula, and the dynamic H\"{o}lder inequality on time scales. When
α=1, then we obtain some well-known time-scale inequalities due to
Hardy. As special cases, we obtain new continuous, discrete, and quantum
inequalities.Comment: 27 page