Results 41 to 50 of about 13,207 (181)

DIFFERENTIAL SUBORDINATIONS AND FUZZY DIFFERENTIAL SUBORDINATIONS USING HILBERT SPACE OPERATOR

South East Asian J. of Mathematics and Mathematical Sciences, 2023
Differential subordination has recently been extended from the geometric function theory to the fuzzy set theory by several authors. In this paper, we use the notion of fuzzy differential subordination to introduce certain fuzzy classes using Hilbert Space Operator. Certain interesting results are established for these classes.
Uday H. Naik, Raisa M Shaikh, Machchhindra T. Gophane   +2 more
openalex   +2 more sources

Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator

Fractal and Fractional
The concept of subordination is expanded in this study from the fuzzy sets theory to the geometry theory of analytic functions with a single complex variable.
Ekram E. Ali, Miguel Vivas-Cortez, 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

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

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   +2 more sources

New results about fuzzy γ-convex functions connected with the q-analogue multiplier-Noor integral operator

AIMS Mathematics
The features of analytical functions were mostly studied using a fuzzy subset and a $ \mathfrak{q} $-difference operator in this study, as we investigate many fuzzy differential subordinations related to the $ \mathfrak{q} $-analogue multiplier-Noor ...
Ekram E. Ali, Miguel Vivas-Cortez , Rabha M. El-Ashwah   +2 more
doaj   +2 more sources

Fuzzy differential subordinations and superordinations for univalent functions involving linear operator [PDF]

AIP Conference Proceedings, 2023
Duaa Abdullah Salih, Abdul Rahman S. Juma, Ali Al-Fayadh   +2 more
openalex   +2 more sources

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

Axioms, 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, Gheorghe Oros, Lavinia Florina Preluca   +2 more
doaj   +1 more source

Inclusion results for the class of fuzzy α-convex functions

AIMS Mathematics, 2023
The notion of a fuzzy subset is used to introduce certain subclasses of analytic functions. Mainly, this article presents several inclusion results and integral preserving properties. Also, certain applications of the analytic functions in terms of fuzzy
Shujaat Ali Shah, Ekram Elsayed Ali , Asghar Ali Maitlo, Thabet Abdeljawad , Abeer M. Albalahi   +4 more
doaj   +1 more source

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.
A. Lupaș
semanticscholar   +1 more source