Generalized <em>k</em>-fractional conformable integrals and related inequalities

Abstract

In the paper, the authors introduce the generalized <i>k</i>-fractional conformable integrals, which are the <i>k</i>-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 <i>k</i>-fractional conformable integrals. Finally, the authors generalize some integral inequalities to ones for generalized <i>k</i>-fractional conformable integrals.