On Fractional Quaternionic d-Bar Derivatives

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dc.contributor.authorFernandez, Arran
dc.contributor.authorGuder, Cihan
dc.contributor.authorYasin, Walaa
dc.date.accessioned2026-02-06T18:29:02Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.descriptionMethusalem Workshop on Classical Analysis and PDEs (MWCAPDE) -- FEB 27-MAR 01, 2023 -- Ghent Univ, Ghent, BELGIUM
dc.description.abstractWe introduce a fractional version of the d-bar derivative operator acting on quaternionic functions. Some natural properties of this new operator are shown, including composition properties and its action on certain functions such as Fueter polynomials, which help to demonstrate its suitability compared with other attempts to define fractional quaternionic and Clifford derivatives.
dc.description.sponsorshipEastern Mediterranean University [BAPC-04-22-03]
dc.description.sponsorshipThis research is financially supported by Eastern Mediterranean University via a BAP-C grant with project number BAPC-04-22-03. The first two authors are also grateful to the Ghent Analysis & PDE group for hosting them during the period this research began.
dc.identifier.doi10.1007/978-3-031-41665-1_3
dc.identifier.endpage31
dc.identifier.isbn978-3-031-41667-5
dc.identifier.isbn978-3-031-41665-1
dc.identifier.isbn978-3-031-41664-4
dc.identifier.issn2948-1724
dc.identifier.scopus2-s2.0-85190117932
dc.identifier.scopusqualityN/A
dc.identifier.startpage23
dc.identifier.urihttps://doi.org/10.1007/978-3-031-41665-1_3
dc.identifier.urihttps://hdl.handle.net/11129/11249
dc.identifier.volume1
dc.identifier.wosWOS:001274418500003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherBirkhauser Verlag Ag
dc.relation.ispartofExtended Abstracts Mwcapde 2023
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.titleOn Fractional Quaternionic d-Bar Derivatives
dc.typeConference Object

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