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.

Keywords

• left k-fractional conformable integral
• right k-fractional conformable integral
• fractional integral inequality