Sort:
Open Access Research Article Issue
On fuzzy differential subordination associated with q-difference operator
AIMS Mathematics 2023, 8(3): 6642-6650
Published: 15 March 2023
Abstract PDF (228.2 KB) Collect
Downloads:0

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.

Open Access Research Article Issue
Study of the fuzzy q spiral-like functions associated with the generalized linear operator
AIMS Mathematics 2023, 8(11): 26290-26300
Published: 15 November 2023
Abstract PDF (240.5 KB) Collect
Downloads:1

Nowadays, the subclasses of analytic functions in terms of fuzzy subsets are studied by various scholars and some of these concepts are extended using the q theory of functions. In this inspiration, we introduce certain subclasses of analytic function by using the notion of fuzzy subsets along with the idea of q calculus. We present the q extensions of the fuzzy spiral-like functions of a complex order. We generalize this class using the q analogues of the Ruscheweyh derivative and Srivastava-Attiya operators. Various interesting properties are examined for the newly defined subclasses. Also, some previously investigated results are deduced as the corollaries of our major results.

Total 2