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Fractional Integral of the Confluent Hypergeometric Function Related to Fuzzy Differential Subordination Theory

open access: yesFractal and Fractional, 2022
The fuzzy differential subordination concept was introduced in 2011, generalizing the concept of differential subordination following a recent trend of adapting fuzzy sets theory to other already-established theories.
Mugur Acu   +2 more
doaj   +5 more sources

Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function

open access: yesFractal and Fractional, 2023
Using the results of third-order differential subordination, we introduce certain families of admissible functions and discuss some applications of third-order differential subordination for meromorphic functions associated with a linear operator ...
Adel A. Attiya   +2 more
doaj   +3 more sources

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

open access: yesMathematics, 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   +3 more sources

Fuzzy Differential Subordination for Meromorphic Function

open access: yesAxioms, 2022
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best ...
Sheza El-Deeb   +3 more
doaj   +3 more sources

Differential subordination and superordination results for p-valent analytic functions associated with (r,k)-Srivastava fractional integral calculus. [PDF]

open access: yesMethodsX
The object of the present paper is to investigate generalizations of the hypergeometric function and Srivastava fractional integral calculus by using a general version of gamma function(namely (r,k)-gamma function).• Some fundamental results for these ...
Tayyah AS, Atshan WG.
europepmc   +2 more sources

Third-Order Differential Subordinations Using Fractional Integral of Gaussian Hypergeometric Function

open access: yesAxioms, 2023
Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case of third-order differential subordinations by José A. Antonino and Sanford S. Miller in 2011.
Georgia Irina Oros   +2 more
doaj   +3 more sources

Fuzzy differential subordination related to strongly Janowski functions

open access: yesApplied 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   +2 more sources

Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations

open access: yesMathematics, 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   +3 more sources

Differential Subordination and Superordination Results Using Fractional Integral of Confluent Hypergeometric Function

open access: yesSymmetry, 2021
Both the theory of differential subordination and its dual, the theory of differential superordination, introduced by Professors Miller and Mocanu are based on reinterpreting certain inequalities for real-valued functions for the case of complex-valued ...
Alb Lupas Daciana Alina   +1 more
exaly   +2 more sources

Differential Subordination and Superordination Results for q-Analogue of Multiplier Transformation

open access: yesFractal and Fractional, 2023
The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination.
Alina Alb Lupaş, Adriana Cătaş
doaj   +2 more sources

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