Inclusion results for the class of fuzzy $ \alpha $-convex functions

Shujaat Ali Shah; Ekram Elsayed Ali; Asghar Ali Maitlo; Thabet Abdeljawad; Abeer M. Albalahi; Shujaat Ali Shah; Ekram Elsayed Ali; Asghar Ali Maitlo; Thabet Abdeljawad; Abeer M. Albalahi

doi:10.3934/math.2023069

AIMS Mathematics

2023, Volume 8, Issue 1: 1375-1383. doi: 10.3934/math.2023069

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Inclusion results for the class of fuzzy $ \alpha $-convex functions

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 Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, KSA
5.
Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Received: 19 August 2022 Revised: 29 September 2022 Accepted: 13 October 2022 Published: 20 October 2022
MSC : 30C45, 30C50

The notion of a fuzzy subset is used to introduce certain subclasses of analytic functions. Mainly, this article presents several inclusion results and integral preserving properties. Also, certain applications of the analytic functions in terms of fuzzy structure will be discussed.
- univalent functions,
- fuzzy differential subordination,
- fuzzy starlike functions,
- fuzzy convex functions
Citation: Shujaat Ali Shah, Ekram Elsayed Ali, Asghar Ali Maitlo, Thabet Abdeljawad, Abeer M. Albalahi. Inclusion results for the class of fuzzy $ \alpha $-convex functions[J]. AIMS Mathematics, 2023, 8(1): 1375-1383. doi: 10.3934/math.2023069

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Abstract

The notion of a fuzzy subset is used to introduce certain subclasses of analytic functions. Mainly, this article presents several inclusion results and integral preserving properties. Also, certain applications of the analytic functions in terms of fuzzy structure will be discussed.

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