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Application of the hypercomplex fractional integro-differential operators to the fractional Stokes equation

dc.contributor.authorFerreira, M.
dc.contributor.authorKraußhar, R. S.
dc.contributor.authorRodrigues, M. M.
dc.contributor.authorVieira, N.
dc.date.accessioned2026-03-10T17:20:40Z
dc.date.available2026-03-10T17:20:40Z
dc.date.issued2019
dc.description.abstractWe present a generalization of several results of the classical continuous Clifford function theory to the context of fractional Clifford analysis. The aim of this paper is to show how the fractional integro-differential hypercomplex operator calculus can be applied to a concrete fractional Stokes problem in arbitrary dimensions which has been attracting recent interest (cf. [1, 6]).eng
dc.description.sponsorshipThe work of M. Ferreira, M.M. Rodrigues and N. Vieira was supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT–Funda¸c˜ao para a Ciˆencia e a Tecnologia”), within project UID/MAT/ 0416/2013. The work of the authors was supported by the project New Function Theoretical Methods in Computational Electrodynamics / Neue funktionentheoretische Methoden f¨ur instation¨are PDE, funded by Programme for Co operation in Science between Portugal and Germany (“Programa de A¸c˜oes Integradas Luso-Alem˜as/2017” - Ac¸c˜ao No. A-15/17 - DAAD-PPP Deutschland-Portugal, Ref: 57340281). N. Vieira was also supported by FCT via the FCT Researcher Program 2014 (Ref: IF/00271/2014).
dc.identifier.citationM. Ferreira, R. S. Kraußhar, M. M. Rodrigues, N. Vieira; Application of the hypercomplex fractional integro-differential operators to the fractional Stokes equation. AIP Conf. Proc. 24 July 2019; 2116 (1): 160004. https://doi.org/10.1063/1.5114148
dc.identifier.doi10.1063/1.5114148
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/15825
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAIP Publishing
dc.relationUID/MAT/ 0416/2013
dc.relation.hasversionhttps://pubs.aip.org/aip/acp/article-abstract/2116/1/160004/960693/Application-of-the-hypercomplex-fractional-integro
dc.relation.ispartofAIP Conference Proceedings
dc.relation.ispartofCENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST)
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleApplication of the hypercomplex fractional integro-differential operators to the fractional Stokes equationeng
dc.typeconference paper
dspace.entity.typePublication
oaire.citation.conferenceDate2018-09
oaire.citation.conferencePlaceRhodes, Greece
oaire.citation.titleINTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2018)
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameFerreira
person.givenNameMilton
person.identifier.ciencia-idCA19-2009-F26D
person.identifier.orcid0000-0003-1816-8293
person.identifier.ridA-2004-2015
person.identifier.scopus-author-id12144179800
relation.isAuthorOfPublicationb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isAuthorOfPublication.latestForDiscoveryb1460cdc-4ced-46c6-a637-68b425d104dc

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