Results 1 to 10 of about 1,870,399 (65)

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

Mathematics, 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 and Superordination Results for Fractional Integral Associated with Dziok-Srivastava Operator

Mathematics, 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   +5 more sources

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

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
doaj   +3 more sources

Introducing the Third-Order Fuzzy Superordination Concept and Related Results

Mathematics
Third-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic.
Georgia Irina Oros, Simona Dzitac, Daniela Andrada Bardac-Vlada   +2 more
doaj   +4 more sources

Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk

Axioms
This work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +4 more sources

Third-Order Fuzzy Differential Subordination and Superordination via Generalized Mittag-Leffler Operator with Applications in Decision Making

Mathematics
This article focuses on the notions of third-order fuzzy differential subordination and superordination associated with the generalized Mittag-Leffler operator.
Borhen Halouani, Bushra Kanwal, Saba Shabir, Maslina Darus, Tariq Alsmadi, Ibrahim S. Elshazly   +5 more
doaj   +4 more sources

Application on Fuzzy Third-Order Subordination and Superordination Connected with Lommel Function

Mathematics
This work is based on the recently introduced concepts of third-order fuzzy differential subordination and its dual, third-order fuzzy differential superordination.
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +4 more sources

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

Axioms, 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.
Alina Alb Lupaş
doaj   +2 more sources

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

Axioms, 2023
Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios.
Alina Alb Lupaş
doaj   +2 more sources

Differential and fuzzy differential sandwich theorems involving quantum calculus operators [PDF]

Journal of Nigerian Society of Physical Sciences
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point.
I. R. Silviya, K. Muthunagai
doaj   +2 more sources