On fuzzy differential subordination associated with $ q $-difference operator

Abstract

<abstract><p>This article presents the link between the fuzzy differential subordination and the q-theory of functions. We use the fuzzy differential subordination to define certain subclasses of univalent functions associated with the q-difference operator. Certain inclusion results are proved, and invariance of the $ q $-Bernardi integral operator for certain classes is discussed.</p></abstract>