@article{Alhwikem2026, 
author = {Dalal Alhwikem and Abbas Kareem Wanas and Bedaa Alawi Abd and Ala Amourah and Sheza M. El-Deeb},
title = {Certain families of admissible functions defined via fuzzy differential subordination and a generalized Mittag-Leffler function},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {943-956},
keywords = {fuzzy set, fuzzy differential subordination, fuzzy best dominant, analytic functions, convolution, admissible functions},
url = {https://www.sciopen.com/article/10.3934/math.2026041},
doi = {10.3934/math.2026041},
abstract = {In the present paper, we employ the generalized Mittag-Leffler function to investigate several fuzzy differential subordination results associated with suitable families of admissible functions in the open unit disk. By utilizing a refined analytic framework, we derive new inclusion relationships and establish sufficient conditions for fuzzy subordinating functions defined via Mittag-Leffler-type operators. Furthermore, the obtained results unify and extend a number of earlier findings in the theory of fuzzy analytic functions. These developments provide a deeper insight into the interaction between generalized special functions and the structure of fuzzy differential subordinations, offering potential applications to broader subclasses of analytic and bi-univalent functions, as well as to various operator-defined families in geometric function theory.}
}