The study presented in this article involves q-calculus connected to fractional calculus
applied in the univalent functions theory. Riemann-Liouville fractional integral of q …

This study uses the optimal auxiliary function method to approximate solutions for fractional-
order non-linear partial differential equations, utilizing Riemann–Liouville's fractional …

The generalized exponential function in a complex domain is called the Mittag-Leffler
function (MLF). The implementations of MLF are significant in diverse areas of science. Over …

Recently, the realm related to Euler's Beta function has played a significant role in the
development of special function theory. In this study, a new extension of the special function …

In the present paper, we propose new generalized classes of (p, q)-starlike and (p, q)-
convex functions. These classes are introduced by making use of a (p, q)-derivative …

This article presents a new q-analog integral operator, which generalizes the q-Srivastava–
Attiya operator. Using this q-analog operator, we define a family of analytic non-Bazilevič …

The development of certain aspects of geometric function theory after incorporating
fractional calculus and q-calculus aspects is obvious and indisputable. The study presented …

The results contained in this paper are the result of a study regarding fractional calculus
combined with the classical theory of differential subordination established for analytic …

The article reveals new applications of the four-parameter Mittag-Leffler function (MLF) in
geometric function theory (GFT), using fractional calculus notions. The purpose of this study …

In the research presented in this paper, confluent hypergeometric function is embedded in
the theory of strong differential superordinations. In order to proceed with the study, the form …