Introduction in third-order fuzzy differential subordination

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dc.authoridOros, Gheorghe/0000-0002-1000-094X
dc.authoridOros, Georgia Irina/0000-0003-2902-4455
dc.contributor.authorOros, Georgia Irina
dc.contributor.authorOros, Gheorghe
dc.contributor.authorGueney, Hatun oezlem
dc.date.accessioned2025-02-22T14:08:47Z
dc.date.available2025-02-22T14:08:47Z
dc.date.issued2024
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn light of the well-established and widely-used theory of differential subordination, recent works incorporating fuzzy elements into Geometric Function Theory have given rise to the concept of fuzzy differential subordination. Second-order fuzzy differential sub ordinations were taken into consideration for studies up until this point. The research described in this paper aims to expand the concept of fuzzy differential subordination to third-order fuzzy differential subordination, building on an idea first put forth in 2011 by Jos & eacute; A. Antonino and Sanford S. Miller and still being investigated by scholars today. The key concepts and preliminary findings required for the development of this branch of fuzzy differential subordination are introduced. The class of admissible functions is specified, the fundamental theorems are established and the fundamental concepts of the third-order fuzzy subordination approach are presented. Several examples constructed as applications of the new results demonstrate the applicability of the new findings.en_US
dc.identifier.doi10.15672/hujms.1319541
dc.identifier.endpage1641en_US
dc.identifier.issn2651-477X
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85206561742en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1627en_US
dc.identifier.urihttps://doi.org/10.15672/hujms.1319541
dc.identifier.urihttps://hdl.handle.net/11468/29641
dc.identifier.volume53en_US
dc.identifier.wosWOS:001385922500009
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250222
dc.subjectthird-order differential subordinationen_US
dc.subjectfuzzy differential subordinationen_US
dc.subjectadmissible functionen_US
dc.subjectfuzzy dominanten_US
dc.subjectfuzzy best dominanten_US
dc.titleIntroduction in third-order fuzzy differential subordinationen_US
dc.typeArticleen_US

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