LAKHDARI Abdelghani (Co-Auteur)2025-09-172025-09-172023http://dspace.ensti-annaba.dz:4000/handle/123456789/85111(6), 1373 https://doi.org/10.3390/math11061373In the present work, we introduce two new local fractional integral operators involving Mittag–Leffler kernel on Yang’s fractal sets. Then, we study the related generalized Hermite– Hadamard-type inequality using generalized (E, h)-convexity and obtain two identities pertaining to these operators, and the respective first- and second-order derivatives are given. In terms of applications, we provide some new generalized trapezoid-type inequalities for generalized (E, h)-convex functions. Finally, some special cases are deduced for different values of δ, E, and h.enfractal setsgeneralized (E, h)-convexitylocal fractional integral and derivativegeneralized Mittag–Leffler functionArticle