Fractional dynamic inequalities harmonized on time scales

Formation of Versions of Some Dynamic Inequalities Unified on Time Scale Calculus

“…We can present dynamic inequalities on fractional calculus as given in [16] and on quantum calculus. We can develop dynamic inequalities using fractional Riemann-Liouville integral on time scale calculus in a similar fashion as given in [2] and [17]. Similarly we can generalize dynamic inequalities of this article using time scales fractional derivative as given in [2].…”

“…Remark 5. If we set α = 1, T = Z, w(x) = 1, β = γ = 1 and f (k) = x k ∈ (0, ∞) for k ∈ {1, 2, ..., n}, n ∈ N − {1}, then discrete version of (3.14) reduces to 17) where…”