Results 11 to 20 of about 1,808,052 (104)

Fuzzy Differential Subordination for Classes of Admissible Functions Defined by a Class of Operators

Fractal and Fractional
This paper’s findings are related to geometric function theory (GFT). We employ one of the most recent methods in this area, the fuzzy admissible functions methodology, which is based on fuzzy differential subordination, to produce them.
Ekram E. Ali, Miguel Vivas-Cortez, Rabha M. El-Ashwah   +2 more
doaj   +5 more sources

Fuzzy Differential Subordination of the Atangana–Baleanu Fractional Integral [PDF]

Symmetry, 2021
The present paper continues the study on the relatively new concept of fuzzy differential subordination conducted in some recently published cited papers. In this article, certain fuzzy subordination results for analytical functions involving the Atangana–Baleanu fractional integral of Bessel functions are presented.
Adriana Cătaş, Alb Lupas Daciana Alina, Alb Lupaş Alina   +2 more
exaly   +3 more sources

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   +3 more sources

Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution

Arab Journal of Basic and Applied Sciences
This article introduces a new operator defined by the convolution of the Poisson distribution series and the generalized Mittag-Leffler function. Applying this operator, we study a novel subclass of analytic functions using the technique of fuzzy ...
Bushra Kanwal, Kashmala Sarfaraz, Munnaza Naz, Afis Saliu   +3 more
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

Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator [PDF]

Mathematics, 2021
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. Using the ideas specific to geometric function theory from the field of complex analysis, fuzzy differential ...
Georgia Irina Oros
doaj   +3 more sources

Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function

Mathematics
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi, Marwa Ennaceur   +4 more
doaj   +4 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   +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

Applications of Fuzzy Differential Subordination to the Subclass of Analytic Functions Involving Riemann–Liouville Fractional Integral Operator

Mathematics, 2023
In this research, we combine ideas from geometric function theory and fuzzy set theory. We define a new operator Dτ−λLα,ζm:A→A of analytic functions in the open unit disc Δ with the help of the Riemann–Liouville fractional integral operator, the linear ...
Daniel Breaz, Shahid Khan, Ferdous M. O. Tawfiq, Fairouz Tchier   +3 more
doaj   +4 more sources