Fractional differential and integral operations via cumulative approach

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dc.contributor.authorBuyukkilic, Fevzi
dc.contributor.authorBayrakdar, Zahide Ok
dc.contributor.authorDemirhan, Dogan
dc.date.accessioned2019-10-27T09:44:17Z
dc.date.available2019-10-27T09:44:17Z
dc.date.issued2019
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this study, a fractal operator model of cumulative processes is described. Accordingly, differential and integral operators of the fractional calculus are derived by the fractal operator model of a cumulative process. In order to exhibit the relation between our cumulative approach and fractional calculus, vertical motion of a body is handled within these frameworks. Thereby, regard to our assessments, the underlying physical mechanism of the success of the fractional differintegral operators in describing stochastic complex systems is uncovered to some extent.en_US
dc.identifier.doi10.1002/mma.5450
dc.identifier.endpage2491en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issn0170-4214en_US
dc.identifier.issn1099-1476en_US
dc.identifier.issue8en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2479en_US
dc.identifier.urihttps://doi.org/10.1002/mma.5450
dc.identifier.urihttps://hdl.handle.net/11454/28977
dc.identifier.volume42en_US
dc.identifier.wosWOS:000465233100001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectcumulative approachen_US
dc.subjectdiscrete vertical motionen_US
dc.subjectfractional derivatives and integralsen_US
dc.subjectfractional differential equationsen_US
dc.subjectfractional vertical motionen_US
dc.titleFractional differential and integral operations via cumulative approachen_US
dc.typeArticleen_US

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