Results 1 to 10 of about 35 (27)

Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations

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   +4 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

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   +3 more sources

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

Symmetry, 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.
Alina Alb Lupaş, Lupaş Alina Alb
exaly   +2 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   +2 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   +2 more sources

Fuzzy Best Dominants for Certain Fuzzy Differential Subordinations

Journal of Advances in Applied & Computational Mathematics, 2022
This paper aims to present a survey on certain fuzzy subordination properties for analytic functions defined in the open unit disk. The new results are derived by considering a certain differential operator. By making use of two differential properties of the operator we determine sufficient conditions to find the fuzzy best dominants for several fuzzy
openaire   +2 more sources

Applications of Riemann–Liouville Fractional Integral of q-Hypergeometric Function for Obtaining Fuzzy Differential Sandwich Results

, 2022
Studies regarding the two dual notions are conducted in this paper using Riemann–Liouville fractional integral of q-hypergeometric function for obtaining certain fuzzy differential subordinations and superordinations. Fuzzy best dominants and fuzzy
Georgia Irina Oros, Alina Alb Lupaş
core   +1 more source

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   +1 more source

Fuzzy Differential Superordination

S.S. Miller and P.T. Mocanu in (Miller & Mocanu, 2003) the notion of differential superordination as a dualconcept of differential subordination (Miller & Mocanu, 2000) .
Hussain, Khudair O., Atshan, Waggas Galib   +1 more
core