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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 ...
Madan Mohan Soren   +1 more
doaj   +6 more sources

Applications of fuzzy differential subordination theory on analytic p-valent functions connected with -calculus operator [PDF]

open access: goldAIMS Mathematics
In 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
doaj   +6 more sources

Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations [PDF]

open access: goldMathematics, 2022
Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory.
Georgia Irina Oros, Simona Dzitac
doaj   +4 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.
Alina Alb Lupaş
doaj   +4 more sources

On fuzzy differential subordination associated with q-difference operator

open access: goldAIMS Mathematics, 2023
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.
Shujaat Ali Shah   +3 more
doaj   +4 more sources

Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product [PDF]

open access: goldAxioms, 2023
This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy differential subordination results are obtained using a new operator which is the combination Hadamard product and integral operator for meromorphic function.
Sheza M. El-Deeb, Alina Alb Lupaş
doaj   +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.
Alina Alb Lupaş
doaj   +5 more sources

Fuzzy differential subordination related to strongly Janowski functions

open access: diamondApplied Mathematics in Science and Engineering, 2023
The research presented in this paper concerns the notion of geometric function theory called fuzzy differential subordination. Using the technique associated with fuzzy differential subordination, a new subclass of analytic functions related with the ...
Bushra Kanwal, Saqib Hussain, Afis Saliu
doaj   +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.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +4 more sources

Fuzzy differential subordinations connected with the linear operator [PDF]

open access: diamondMathematica 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
doaj   +6 more sources

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