Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for ( α , h − m ) convex functions. A generalized fractional Hadamard inequality is established. All the results hold for h -convex, ( h , m ) -convex, ( α , m ) -convex, ( s , m ) -convex, and associated functions.