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

Shujaat Ali Shah; Ekram Elsayed Ali; Adriana Cătaș; Abeer M. Albalahi; Shujaat Ali Shah; Ekram Elsayed Ali; Adriana Cătaș; Abeer M. Albalahi

doi:10.3934/math.2023336

AIMS Mathematics

2023, Volume 8, Issue 3: 6642-6650. doi: 10.3934/math.2023336

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

1.
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah 67450, Pakistan
2.
Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia
3.
Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt
4.
Department of Mathematics and Computer Science, University of Oradea 1 University St., 410087 Oradea, Romania

Received: 01 November 2022 Revised: 28 November 2022 Accepted: 07 December 2022 Published: 06 January 2023
MSC : 30C45, 30A10

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.
- analytic functions,
- $ q $-difference operator,
- fuzzy differential subordination,
- the $ q $-Srivastava-Attiya operator,
- the $ q $-multiplier transformation
Citation: Shujaat Ali Shah, Ekram Elsayed Ali, Adriana Cătaș, Abeer M. Albalahi. On fuzzy differential subordination associated with $ q $-difference operator[J]. AIMS Mathematics, 2023, 8(3): 6642-6650. doi: 10.3934/math.2023336

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Abstract

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.

References

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