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Research Article | Open Access

On fuzzy differential subordination associated with q-difference operator

Shujaat Ali Shah1( ), Ekram Elsayed Ali2,3, Adriana Cătaș4( ), Abeer M. Albalahi2
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah 67450, Pakistan
Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia
Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt
Department of Mathematics and Computer Science, University of Oradea 1 University St., 410087 Oradea, Romania
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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.

Keywords

analytic functionsq-difference operatorfuzzy differential subordinationthe q-Srivastava-Attiya operatorthe q-multiplier transformation
CLC number: 30C45, 30A10

References

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6642-6650
DOI: 10.3934/math.2023336

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Cite this article:
Shah SA, Ali EE, Cătaș A, et al. On fuzzy differential subordination associated with q-difference operator. AIMS Mathematics, 2023, 8(3): 6642-6650. https://doi.org/10.3934/math.2023336

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Received: 01 November 2022
Revised: 28 November 2022
Accepted: 07 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)