Analysis of charge variation in fractional order LC electrical circuit

dc.contributor.authorCalik, A. E.
dc.contributor.authorSirin, H.
dc.contributor.authorErtik, H.
dc.contributor.authorSen, M.
dc.date.accessioned2019-10-27T23:08:56Z
dc.date.available2019-10-27T23:08:56Z
dc.date.issued2016
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this paper, the charge variation in time has been investigated in electrical LC circuit within the framework of fractional calculus. The second order differential equation related to the LC circuit has been re-solved by using Caputo fractional derivative. The solution of this new equation has been obtained in terms of Mittag-Leffier function which behaves in between power law and exponential law forms. The order of time-fractional derivative characterizes the time fractality effects in the system, and is considered in the interval 1 < alpha < 2. The obtained results have been compared with the other studies in the literature. It has been concluded that the Mittag-Leffier function and the order of time-fractional derivative have a special importance to take into account the non-local behaviour of the physical process in time.en_US
dc.identifier.endpage441en_US
dc.identifier.issn0035-001X
dc.identifier.issn0035-001Xen_US
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage437en_US
dc.identifier.urihttps://hdl.handle.net/11454/52437
dc.identifier.volume62en_US
dc.identifier.wosWOS:000382511800005en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSoc Mexicana Fisicaen_US
dc.relation.ispartofRevista Mexicana De Fisicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLC circuiten_US
dc.subjectfractional calculusen_US
dc.subjectCaputo fractional derivativeen_US
dc.subjectMittag-Leflaer functionen_US
dc.titleAnalysis of charge variation in fractional order LC electrical circuiten_US
dc.typeArticleen_US

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