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Research Article | Open Access

New results about fuzzy γ -convex functions connected with the q -analogue multiplier-Noor integral operator

Ekram E. Ali1,2Miguel Vivas-Cortez3 ( )Rabha M. El-Ashwah4
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
Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias Fisicas y Matematicas, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Quito 170143, Ecuador
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
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Abstract

The features of analytical functions were mostly studied using a fuzzy subset and a q -difference operator in this study, as we investigate many fuzzy differential subordinations related to the q -analogue multiplier-Noor integral operator. By applying fuzzy subordination to univalent functions whose range is symmetric with respect to the real axis, we create a few new subclasses of analytical functions. We define numerous classes related to the family of linear q -operators and introduce them. Here, we focus on the inclusion results and other integral features.

CLC number: 30C45, 30C80

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AIMS Mathematics
Pages 5451-5465

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Cite this article:
Ali EE, Vivas-Cortez M, El-Ashwah RM. New results about fuzzy γ -convex functions connected with the q -analogue multiplier-Noor integral operator. AIMS Mathematics, 2024, 9(3): 5451-5465. https://doi.org/10.3934/math.2024263

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Received: 07 November 2023
Revised: 25 December 2023
Accepted: 03 January 2024
Published: 15 March 2024
©2024 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)