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dc.contributor.authorUddin, Marjanen_US
dc.contributor.authorKhan, Shahiden_US
dc.contributor.authorKamranen_US
dc.date.accessioned2020-10-15T11:44:18Z
dc.date.available2020-10-15T11:44:18Z
dc.date.issued2018
dc.identifier.citationUddin, M., Khan, S. & Kamran. (2018). On the numerical solution of fractional order differential equations using transforms and quadrature. TWMS Journal Of Applied And Engineering Mathematics, 8(1A), 267-274.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2664
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/98-vol8no1a/343
dc.description.abstractIn this work, we extended the work of [12] to approximate the solution of fractional order differential equations by an integral representation in the complex plane. The resultant integral is approximated to high order accuracy using quadrature. The accuracy of the method depends on the selection of optimal contour of integration. Several contour have been proposed in the literature for solving fractional differential equations. In the present work, we will investigate the applicability of the recently developed optimal contour in [16] for solving fractional differential equations. Various fractional order differential equations are approximated and the results are compared with other methods to demonstrate the efficiency and accuracy of the method for various optimal contour of integrations.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFractional order ODEen_US
dc.subjectLaplace transformen_US
dc.subjectQuadratureen_US
dc.subjectCalculus approachen_US
dc.subjectApproximationen_US
dc.titleOn the numerical solution of fractional order differential equations using transforms and quadratureen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume8
dc.identifier.issue1A
dc.identifier.startpage267
dc.identifier.endpage274
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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