Certain Bounds Related to Multi-Parameterized $k$ -Fractional Integral Inequalities and Their Applications

A
$k$
-fractional integral identity with multiple parameters is investigated. Based on this identity, some estimation-type results related to
$k$
-fractional integral inequalities for the first-order differentiable functions are obtained. These results are then applied to the estimation of cumulative distribution function and some other special means.