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Fuzzy differential subordination and superordination results for the Mittag-Leffler type Pascal distribution [PDF]

open access: goldAIMS Mathematics
In 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 distribution series. We also investigate and introduce a class $ \mathcal{MB}_{\xi, \beta}^{F, s, \gamma}(\rho)
Madan Mohan Soren   +1 more
semanticscholar   +6 more sources

Fuzzy Differential Subordination and Superordination Results for Fractional Integral Associated with Dziok-Srivastava Operator [PDF]

open access: goldMathematics, 2023
Fuzzy set theory, introduced by Zadeh, gives an adaptable and logical solution to the provocation of introducing, evaluating, and opposing numerous sustainability scenarios. The results described in this article use the fuzzy set concept embedded into the theories of differential subordination and superordination from the geometric function theory.
Alina Alb Lupaş
semanticscholar   +4 more sources

Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects [PDF]

open access: goldMathematics, 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. Fractional calculus is combined in the present paper with quantum calculus aspects for obtaining new fuzzy differential subordinations and ...
Alina Alb Lupaş, Georgia Irina Oros
semanticscholar   +4 more sources

Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations [PDF]

open access: goldMathematics, 2021
The fractional integral of confluent hypergeometric function is used in this paper for obtaining new applications using concepts from the theory of fuzzy differential subordination and superordination. The aim of the paper is to present new fuzzy differential subordinations and superordinations for which the fuzzy best dominant and fuzzy best ...
Alina Alb Lupaş
semanticscholar   +5 more sources

Fuzzy differential subordination and superordination results for $ q $ -analogue of multiplier transformation

open access: goldAIMS Mathematics, 2023
<abstract><p>In this paper the authors combine the quantum calculus applications regarding the theories of differential subordination and superordination with fuzzy theory. These results are established by means of an operator defined as the $ q $-analogue of the multiplier transformation.
Alina Alb Lupaş   +2 more
semanticscholar   +4 more sources

On Special Fuzzy Differential Superordination For Univalent Functions Defined by Integral Operator

open access: bronzeJournal of Al-Qadisiyah for Computer Science and Mathematics
Miller and Mocanu introduced the concept of differential superordination as the dual counterpart to differential subordination, as discussed in [3]. In [4], the notion of fuzzy subordination was introduced, while in [5], the authors extended this idea by defining fuzzy differential subordination. Furthermore, in [6], They derived conditions under which
Raghda Naser Abdul-Hussain   +1 more
semanticscholar   +3 more sources

Fuzzy Differential Inequalities for Convolution Product of Ruscheweyh Derivative and Multiplier Transformation

open access: yesAxioms, 2023
In this paper, the author combines the geometric theory of analytic function regarding differential superordination and subordination with fuzzy theory for the convolution product of Ruscheweyh derivative and multiplier transformation.
A. Lupaș
semanticscholar   +1 more source

Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function

open access: yesSymmetry, 2021
The operator defined as the fractional integral of confluent hypergeometric function was introduced and studied in previously written papers in view of the classical theory of differential subordination.
A. Lupaș
semanticscholar   +1 more source

New Applications of Fuzzy Set Concept in the Geometric Theory of Analytic Functions

open access: yesAxioms, 2023
Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios.
A. Alb Lupaș
semanticscholar   +1 more source

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