GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS AND RELATED INEQUALITIES
Abstract
In the paper, the authors introduce the generalized $k$-fractional conformable integrals, which are the $k$-analogues of the recently introduced fractional conformable integrals and can be reduced to other fractional integrals under specific values of the parameters involved. Hereafter, the authors prove the existence of $k$-fractional conformable integrals. Finally, the authors generalize some integral inequalities to ones for generalized $k$-fractional conformable integrals.
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