A NEW SOLUTION METHOD FOR NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

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dc.contributor.authorAlkan, Sertan
dc.date.accessioned2024-09-18T20:52:46Z
dc.date.available2024-09-18T20:52:46Z
dc.date.issued2015
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractThe aim of this paper is to obtain approximate solution of a class of nonlinear fractional Fredholm integro-differential equations by means of sinccollocation method which is not used for solving them in the literature before. The fractional derivatives are defined in the Caputo sense often used in fractional calculus. The important feature of the present study is that obtained results are stated as two new theorems. The introduced method is tested on some nonlinear problems and it seems that the method is a very efficient and powerful tool to obtain numerical solutions of nonlinear fractional integro-differential equations.en_US
dc.identifier.doi10.3934/dcdss.2015.8.1065
dc.identifier.endpage1077en_US
dc.identifier.issn1937-1632
dc.identifier.issn1937-1179
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84949681286en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1065en_US
dc.identifier.urihttps://doi.org/10.3934/dcdss.2015.8.1065
dc.identifier.urihttps://hdl.handle.net/20.500.12483/11389
dc.identifier.volume8en_US
dc.identifier.wosWOS:000367012300005en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciencesen_US
dc.relation.ispartofDiscrete and Continuous Dynamical Systems-Series Sen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNonlinear fractional Fredholm integro-differential equationen_US
dc.subjectsinccollocation methoden_US
dc.subjectCaputo derivativeen_US
dc.subjectquadrature ruleen_US
dc.subjectmathematicaen_US
dc.titleA NEW SOLUTION METHOD FOR NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONSen_US
dc.typeArticleen_US

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