Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function

The operator defined as the fractional integral of confluent hypergeometric function was introduced and studied in previously written papers in view of the classical theory of differential subordination. In this paper, the same operator is studied using concepts from the theory of fuzzy differential...

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Autor principal:	Alina Alb Lupaş
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	analytic functions differential operator fuzzy differential subordination fuzzy differential superordination Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a2bbb5486b7d4c6a9ae80ede2d29a217
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spelling	oai:doaj.org-article:a2bbb5486b7d4c6a9ae80ede2d29a2172021-11-25T19:05:51ZFuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function10.3390/sym131119922073-8994https://doaj.org/article/a2bbb5486b7d4c6a9ae80ede2d29a2172021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/1992https://doaj.org/toc/2073-8994The operator defined as the fractional integral of confluent hypergeometric function was introduced and studied in previously written papers in view of the classical theory of differential subordination. In this paper, the same operator is studied using concepts from the theory of fuzzy differential subordination and superordination. The original theorems contain fuzzy differential subordinations and superordinations for which the fuzzy best dominant and fuzzy best subordinant are given, respectively. Interesting corollaries are obtained for particular choices of the functions acting as fuzzy best dominant and fuzzy best subordinant. A nice sandwich-type theorem is stated combining the results given in two theorems proven in this paper using the two dual theories of fuzzy differential subordination and fuzzy differential superordination.Alina Alb LupaşMDPI AGarticleanalytic functionsdifferential operatorfuzzy differential subordinationfuzzy differential superordinationMathematicsQA1-939ENSymmetry, Vol 13, Iss 1992, p 1992 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	analytic functions differential operator fuzzy differential subordination fuzzy differential superordination Mathematics QA1-939
spellingShingle	analytic functions differential operator fuzzy differential subordination fuzzy differential superordination Mathematics QA1-939 Alina Alb Lupaş Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function
description	The operator defined as the fractional integral of confluent hypergeometric function was introduced and studied in previously written papers in view of the classical theory of differential subordination. In this paper, the same operator is studied using concepts from the theory of fuzzy differential subordination and superordination. The original theorems contain fuzzy differential subordinations and superordinations for which the fuzzy best dominant and fuzzy best subordinant are given, respectively. Interesting corollaries are obtained for particular choices of the functions acting as fuzzy best dominant and fuzzy best subordinant. A nice sandwich-type theorem is stated combining the results given in two theorems proven in this paper using the two dual theories of fuzzy differential subordination and fuzzy differential superordination.
format	article
author	Alina Alb Lupaş
author_facet	Alina Alb Lupaş
author_sort	Alina Alb Lupaş
title	Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function
title_short	Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function
title_full	Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function
title_fullStr	Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function
title_full_unstemmed	Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function
title_sort	fuzzy differential sandwich theorems involving the fractional integral of confluent hypergeometric function
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/a2bbb5486b7d4c6a9ae80ede2d29a217
work_keys_str_mv	AT alinaalblupas fuzzydifferentialsandwichtheoremsinvolvingthefractionalintegralofconfluenthypergeometricfunction
_version_	1718410295522623488

Fuzzy Differential Sandwich Theorems Involving the Fractional Integral of Confluent Hypergeometric Function

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