Results 11 to 20 of about 224 (188)
Fuzzy Differential Subordination for Classes of Admissible Functions Defined by a Class of Operators
Fractal and FractionalThis 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 +2 more
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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 +3 more
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Arab Journal of Basic and Applied SciencesThis 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 +3 more
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On fuzzy differential subordination [PDF]
Mathematica 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.
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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 +2 more
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Fuzzy differential subordinations connected with the linear operator [PDF]
Mathematica 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
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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
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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 +3 more
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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
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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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