In this paper, we prove some new fractional dynamic inequalities on time scales of Hardy's type due to Yang and Hwang. The results will be proved by employing the chain rule, Hölder's inequality, and integration by parts on fractional time scales. Several well-known dynamic inequalities on time scales will be obtained as special cases from our results.
In this paper, we will prove some new fractional dynamic inequalities on time scales of Opial's type. The results will be proved by employing the chain rule and Hölder's inequality on fractional time scales. As a special case of our results, when α = 1, we will obtain several well-known dynamic Opial inequalities on time scales.
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