Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations

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. The fractional integral of Gaussian hypergeometric function i...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 10; no. 10; p. 1690
Main Authors: Oros, Georgia Irina, Dzitac, Simona
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.05.2022
Subjects:
Chains
Convex analysis
Fractional calculus
fractional integral
fuzzy differential subordination
fuzzy dominant
fuzzy set
Fuzzy sets
Gaussian hypergeometric function
Hypergeometric functions
subordination chain
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary: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. The fractional integral of Gaussian hypergeometric function is defined in this paper and using properties of the subordination chains, new fuzzy differential subordinations are obtained. Dominants of the fuzzy differential subordinations are given and using particular functions as such dominants, interesting geometric properties interpreted as inclusion relations of certain subsets of the complex plane are presented in the corollaries of the original theorems stated. An example is constructed as an application of the newly proved results.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math10101690