Investigation of electrical RC circuit within the framework of fractional calculus

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dc.contributor.authorErtik, H.
dc.contributor.authorCalik, A. E.
dc.contributor.authorSirin, H.
dc.contributor.authorSen, M.
dc.contributor.authorOder, B.
dc.date.accessioned2019-10-27T22:30:19Z
dc.date.available2019-10-27T22:30:19Z
dc.date.issued2015
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this paper, charging and discharging processes of different capacitors in electrical RC circuit are considered theoretically and experimentally. The non-local behaviors in these processes, arising from the time fractality, are investigated via fractional calculus. In this context, the time fractional differential equation related to electrical RC circuit is proposed by making use of Caputo fractional derivative. The resulting solution exhibits a feature in between power law and exponential law forms, and is obtained in terms of Mittag-Leffler function which describes physical systems with memory. The order of fractional derivative characterizes the fractality of time and being considered in the interval 0 < alpha <= 1. The traditional conclusions are recovered for alpha = 1, where time becomes homogenous and system has Markovian nature. By using time fractional approach, the discrepancies between the experimentally measured data and the theoretical calculations have been removed.en_US
dc.identifier.endpage63en_US
dc.identifier.issn0035-001X
dc.identifier.issn0035-001Xen_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage58en_US
dc.identifier.urihttps://hdl.handle.net/11454/51224
dc.identifier.volume61en_US
dc.identifier.wosWOS:000349736600006en_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.subjectRC circuiten_US
dc.subjectfractional calculusen_US
dc.subjectCaputo fractional derivativeen_US
dc.subjectMittag-Leffler functionen_US
dc.subjectPlanck unitsen_US
dc.titleInvestigation of electrical RC circuit within the framework of fractional calculusen_US
dc.typeArticleen_US

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