An efficient algorithm for solving fractional differential equations with boundary conditions

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dc.authoridyildirim, kenan/0000-0002-4471-3964
dc.authoridSecer, Aydin/0000-0002-8372-2441
dc.contributor.authorAlkan, Sertan
dc.contributor.authorYildirim, Kenan
dc.contributor.authorSecer, Aydin
dc.date.accessioned2024-09-18T20:25:12Z
dc.date.available2024-09-18T20:25:12Z
dc.date.issued2016
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractIn this paper, a sinc-collocation method is described to determine the approximate solution of fractional order boundary value problem (FBVP). The results obtained are presented as two new theorems. The fractional derivatives are defined in the Caputo sense, which is often used in fractional calculus. In order to demonstrate the efficiency and capacity of the present method, it is applied to some FBVP with variable coefficients. Obtained results are compared to exact solutions as well as Cubic Spline solutions. The comparisons can be used to conclude that sinc-collocation method is powerful and promising method for determining the approximate solutions of FBVPs in different types of scenarios.en_US
dc.identifier.doi10.1515/phys-2015-0048
dc.identifier.endpage14en_US
dc.identifier.issn2391-5471
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84959313987en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage6en_US
dc.identifier.urihttps://doi.org/10.1515/phys-2015-0048
dc.identifier.urihttps://hdl.handle.net/20.500.12483/10156
dc.identifier.volume14en_US
dc.identifier.wosWOS:000377068000002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSciendoen_US
dc.relation.ispartofOpen Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional differential equationsen_US
dc.subjectboundary value problemsen_US
dc.subjectsinc-collocation methoden_US
dc.subjectCaputo derivativeen_US
dc.titleAn efficient algorithm for solving fractional differential equations with boundary conditionsen_US
dc.typeArticleen_US

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