Results 1 to 10 of about 1,772,050 (60)

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

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

AIMS 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, Shujaat Ali Shah, Loredana Florentina Iambor   +2 more
exaly   +3 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   +2 more sources

New Certain Results of a Linear Multiplier Fractional q-Differintegral Operator for Fuzzy Differential Subordination and Superordination

Fractal and Fractional
The concept of fuzzy differential subordination was introduced in 2011 as a natural generalization of classical differential subordination, reflecting the contemporary trend of incorporating fuzzy set theory into well-established mathematical frameworks.
Ningegwoda Ravikumar, Basem Aref Frasin, Rmsen Abdulbari Ali Ahmed, Ibtisam Aldawish   +3 more
doaj   +2 more sources

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

AIMS 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, Luminiţa-Ioana Cotîrlǎ   +1 more
exaly   +3 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   +1 more source