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Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations

open access: yesMathematics, 2022
Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory.
Georgia Irina Oros, Simona Dzitac
doaj   +4 more sources

Fuzzy differential subordination related to strongly Janowski functions

open access: yesApplied Mathematics in Science and Engineering, 2023
The research presented in this paper concerns the notion of geometric function theory called fuzzy differential subordination. Using the technique associated with fuzzy differential subordination, a new subclass of analytic functions related with the ...
Bushra Kanwal, Saqib Hussain, Afis Saliu
doaj   +4 more sources

Fuzzy Differential Subordination for Meromorphic Function

open access: yesAxioms, 2022
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best ...
Sheza El-Deeb   +3 more
doaj   +4 more sources

Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations [PDF]

open access: yesMathematics, 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

Fuzzy Differential Subordination Associated with a General Linear Transformation

open access: yesMathematics, 2023
In this study, we investigate a possible relationship between fuzzy differential subordination and the theory of geometric functions. First, using the Al-Oboudi differential operator and the Babalola convolution operator, we establish the new operator ...
Sarfraz Nawaz Malik   +5 more
doaj   +4 more sources

On fuzzy differential subordination [PDF]

open access: yesMathematica Moravica, 2015
The theory of differential subordination was introduced by S.S. Miller and P.T. Mocanu in [2], then developed in many papers. In [1] the authors investigate various subordination results for some subclasses of analytic functions in the unit disc.
Haydar Eṣ A.
doaj   +3 more sources

Fuzzy differential subordinations connected with the linear operator [PDF]

open access: yesMathematica Bohemica, 2021
We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$.
Sheza M. El-Deeb, Georgia I. Oros
doaj   +2 more sources

Fuzzy Differential Subordination Involving Generalized Noor-Salagean Operator [PDF]

open access: yesInformation Sciences Letters, 2022
The well-known technique of 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 ...
A. Noor, M., I. Noor, K.
core   +3 more sources

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

open access: yesMathematics, 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   +2 more sources

Differential and fuzzy differential sandwich theorems involving quantum calculus operators [PDF]

open access: yesJournal of Nigerian Society of Physical Sciences
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point.
I. R. Silviya, K. Muthunagai
doaj   +3 more sources

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