Inequalities of the Ostrowski Type Associated with Fractional Integral Operators Containing the Mittag-Leffler Function

Integral operators with the Mittag-Leffler function in kernels play a very vital role in generalizing classical integral inequalities. This paper aims to derive Ostrowski-type inequalities for k-fractional integrals containing Mittag-Leffler functions. Several new inequalities can be deduced for various fractional integrals in particular cases. Applications of these inequalities are also given.

Automated summary

This paper investigates the application of integral operators with the Mittag-Leffler function in generalizing classical integral inequalities. By deriving Ostrowski-type inequalities for k-fractional integrals containing Mittag-Leffler functions, several new inequalities are obtained in different specific cases.