Certain subclasses of analytic functions associated with fractional q-calculus operators

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Basic and fractional q-calculus and associated Fekete-Szegő problem for p-valently q-starlike functions and p-valently q-convex functions of complex order (2019, background): “Definition 3 ([15], [16] and see also the references cited therein).”
Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator (2018, methodology): “Moreover, in recent years, such q-calculus operators as the fractional q-integral and fractional q-derivative operators were used to construct several subclasses of analytic functions (see, for example, [1], [6], [26], [27], [33], [35], [36], [37] and [38]).”