Results 21 to 30 of about 4,628 (226)

On fuzzy differential subordination associated with $ q $-difference operator

AIMS Mathematics, 2023
<abstract><p>This article presents the link between the fuzzy differential subordination and the q-theory of functions. We use the fuzzy differential subordination to define certain subclasses of univalent functions associated with the q-difference operator. Certain inclusion results are proved, and invariance of the $ q $-Bernardi integral
Shujaat Ali Shah, Ekram Elsayed Ali, Adriana Cătaș, Abeer M. Albalahi   +3 more
openaire   +4 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   +2 more sources

On Special Fuzzy Differential Subordinations Obtained for Riemann–Liouville Fractional Integral of Ruscheweyh and Sălăgean Operators

Axioms, 2022
New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by Dz−λLαn, previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known ...
Alina Alb Lupaş
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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   +3 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   +3 more sources

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

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 ...
Luminiţa-Ioana Cotîrlǎ, Madan Mohan Soren   +1 more
core   +3 more sources

Applications of fuzzy differential subordination theory on analytic p-valent functions connected with -calculus operator [PDF]

AIMS Mathematics
In recent years, the concept of fuzzy set has been incorporated into the field of geometric function theory, leading to the evolution of the classical concept of differential subordination into that of fuzzy differential subordination.
Abeer M. Albalahi, Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah   +3 more
core   +3 more sources

Application of Riemann-Liouville fractional integral to fuzzy differential subordination of analytic univalent functions [PDF]

Studia Universitatis Babes-Bolyai Matematica
This paper focuses on geometric function theory, a subfield of complex analysis that has been adapted for fuzzy set analysis. A number of novel findings that are applicable to this class are found by applying the concept of fuzzy differential ...
JIRAGE, Priyanka D., NILAPGOL, Sarika K., SHELAKE, Girish D.   +2 more
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DIFFERENTIALSUBORDINATIONSANDFUZZY DIFFERENTIALSUBORDINATIONSUSING HILBERTSPACEOPERATOR

South East Asian Journal of Mathematics and Mathematical Sciences, 2023
Differentialsubordinationhasrecentlybeenextendedfromthegeometric functiontheorytothe fuzzyset theorybyseveral authors. Inthispaper,we usethenotionoffuzzydifferentialsubordinationtointroducecertainfuzzyclasses usingHilbertSpaceOperator.Certaininterestingresultsareestablishedforthese classes.
Naik, Uday H., Shaikh, Raisa M., Gophane, Machchhindra T.   +2 more
openaire   +1 more source

Fuzzy Differential Subordinations Based upon the Mittag-Leffler Type Borel Distribution [PDF]

Symmetry, 2021
In this paper, we investigate several fuzzy differential subordinations that are connected with the Borel distribution series Bλ,α,β(z) of the Mittag-Leffler type, which involves the two-parameter Mittag-Leffler function Eα,β(z). Using the above-mentioned operator Bλ,α,β, we also introduce and study a class Mλ,α,βFη of holomorphic and univalent ...
Hari Mohan Srivastava, Sheza M. El-Deeb
openaire   +1 more source