On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method

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In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L-2 nodal norm and L-infinity maximum nodal norm to evaluate the accuracy of method used in this paper.

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https://rdlopen.rawdatalibrary.net/r/munzur/4426Resmi atıflarda kullanılan kalıcı adres
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https://doi.org/10.1515/math-2015-0052Yayıncı resmi DOI adresi
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dc.contributor.authorBaskonus, Haci Mehmet
dc.contributor.authorBulut, Hasan
dc.date.accessioned2026-10-28T14:59:18.345219623Z
dc.date.available2026-10-28T14:59:18.345219623Z
dc.date.issued2015-09
dc.description.abstractIn this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L-2 nodal norm and L-infinity maximum nodal norm to evaluate the accuracy of method used in this paper.
dc.identifier.doi10.1515/math-2015-0052
dc.identifier.endpage556
dc.identifier.issn2391-5455
dc.identifier.startpage547
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/munzur/4426
dc.identifier.volume13
dc.identifier.wosWOS:000361944500004
dc.language.isoen
dc.publisherSCIENDO
dc.relation.ispartofOPEN MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFractional Adams-Bashforth-Moulton method
dc.subjectFractional calculus
dc.subjectFractional nonlinear ordinary differential equation
dc.subject.classificationMathematics
dc.subject.otherALGORITHMS
dc.subject.otherDIFFUSION
dc.subject.otherSTABILITY
dc.subject.otherCHAOS
dc.titleOn the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
dc.typeArticle
rdl.citation.openalex164
rdl.citation.wos129
rdl.oa.statusgold
rdl.oa.urlhttps://www.degruyter.com/document/doi/10.1515/math-2015-0052/pdf
rdl.scopus.quartileQ2
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)