The properties of new approach of fractional order derivative

dc.authorscopusid6602929072
dc.contributor.authorKarci A.
dc.date.accessioned2024-08-04T20:01:00Z
dc.date.available2024-08-04T20:01:00Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractDerivative concept has got about 300-years history. The fractional order derivative concept also has got a long-term history and there are many studies on this concept. The reason for these studies is the belief of better modelling the physical systems with fractional order derivative; the classical derivative is beneficial to model the physical systems locally and the fractional order derivative is beneficial to model physical systems globally. However, the fractional order derivative methods in literature have deficiencies. In this study, these deficiencies were briefly demonstrated and then a new approach for fractional order derivative which was developed by Karci in 2013, will be given. After that, the relationships between classical derivative and this new approach will be illustrated and then some properties of this new definition will be given. There must be a relationship between results of derivative process and complex numbers since the result of derivative is a vectorial magnitude and complex numbers are also vectorial magnitudes. This relationship will be given in detail in this study.en_US
dc.identifier.endpage501en_US
dc.identifier.issn1300-1884
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84942906540en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage487en_US
dc.identifier.urihttps://hdl.handle.net/11616/91181
dc.identifier.volume30en_US
dc.indekslendigikaynakScopusen_US
dc.language.isotren_US
dc.publisherGazi Universitesi Muhendislik-Mimarliken_US
dc.relation.ispartofJournal of the Faculty of Engineering and Architecture of Gazi Universityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDerivativeen_US
dc.subjectFractional calculusen_US
dc.subjectFractional order derivativeen_US
dc.titleThe properties of new approach of fractional order derivativeen_US
dc.title.alternativeKesir dereceli türevin yeni yaklaşiminin özelliklerien_US
dc.typeArticleen_US

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