| Summary: | In this paper, we establish generalized fractional versions of Hermite-Hadamard inequalities for exponentially (<em>α</em>, <em>h</em> − <em>m</em>)-convex functions, exponentially (<em>h</em> − <em>m</em>)-convex functions and exponentially (<em>α</em>, <em>m</em>)-convex functions. These inequalities arise when using the generalized fractional integral operators containing Mittag-Leffler function via a monotonically increasing function. The presented results hold at the same time for various kinds of convexities and well-known fractional integral operators. Moreover, the established inequalities reproduce several known results which are part of the existing literature.
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