Fuzzy differential subordination and superordination results for the Mittag-Leffler type Pascal distribution [PDF]
AIMS MathematicsIn this paper, we derive several fuzzy differential subordination and fuzzy differential superordination results for analytic functions $ \mathcal{M}_{\xi, \beta}^{s, \gamma} $, which involve the extended Mittag-Leffler function and the Pascal ...
Madan Mohan Soren +1 more
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Applications of fuzzy differential subordination theory on analytic p-valent functions connected with -calculus operator [PDF]
AIMS MathematicsIn recent years, the concept of fuzzy set has been incorporated into the field of geometric function theory, leading to the evolution of the classical concept of differential subordination into that of fuzzy differential subordination.
Ekram E. Ali +3 more
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FUZZY DIFFERENTIAL SUBORDINATION INVOLVING GENERALIZED NOOR-RUSCHEWEYH OPERATOR [PDF]
Facta Universitatis, Series: Mathematics and InformaticsA new operator Lnλ is introduced as a convex combination of Ruscheweyh derivative operator and Noor integral operator on the class A of analytic functions in the open unit disc E.
K. Noor, M. A. Noor
semanticscholar +6 more sources
AIMS Mathematics, 2023 In this paper the authors combine the quantum calculus applications regarding the theories of differential subordination and superordination with fuzzy theory.
Alina Alb Lupaş +2 more
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Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator [PDF]
Mathematics, 2021 This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. Using the ideas specific to geometric function theory from the field of complex analysis, fuzzy differential ...
Georgia Irina Oros
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Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects [PDF]
Mathematics, 2022 The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination.
Alina Alb Lupaş, Georgia Irina Oros
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Applications of Fuzzy Differential Subordination for a New Subclass of Analytic Functions [PDF]
Axioms, 2023 This work is concerned with the branch of complex analysis known as geometric function theory, which has been modified for use in the study of fuzzy sets.
Shahid Khan +3 more
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Applications of Fuzzy Differential Subordination to the Subclass of Analytic Functions Involving Riemann–Liouville Fractional Integral Operator [PDF]
Mathematics, 2023 In this research, we combine ideas from geometric function theory and fuzzy set theory. We define a new operator Dτ−λLα,ζm:A→A of analytic functions in the open unit disc Δ with the help of the Riemann–Liouville fractional integral operator, the linear ...
Daniel Breaz +3 more
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Fuzzy differential subordinations connected with the linear operator [PDF]
Mathematica Bohemica, 2021 We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$.
Sheza M. El-Deeb, Georgia I. Oros
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Fuzzy Differential Subordination for Classes of Admissible Functions Defined by a Class of Operators
Fractal and FractionalThis paper’s findings are related to geometric function theory (GFT). We employ one of the most recent methods in this area, the fuzzy admissible functions methodology, which is based on fuzzy differential subordination, to produce them.
Ekram E. Ali +2 more
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