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On numerical solution to fractional non-linear oscillatory equations

MakaleAçık Erişim

Özet

In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. The results indicate that the method is very effective and sufficient for solving non-linear differential equations of fractional order.

Anahtar Kelimeler

DuffingMulti-step differential transform methodNon-linear oscillatory equationsRayleighVander pol equation and vibration
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15693Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s11012-012-9661-zYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorGökdoǧan, Ahmet
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2026-10-22T10:24:23.609258051Z
dc.date.available2026-10-22T10:24:23.609258051Z
dc.date.issued2013
dc.description.abstractIn this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. The results indicate that the method is very effective and sufficient for solving non-linear differential equations of fractional order.
dc.identifier.doi10.1007/s11012-012-9661-z
dc.identifier.eissn1572-9648
dc.identifier.endpage1213
dc.identifier.issn0025-6455
dc.identifier.issue5
dc.identifier.scopus2-s2.0-84882565941
dc.identifier.startpage1201
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15693
dc.identifier.volume48
dc.identifier.wosWOS:000321846900013
dc.language.isoen
dc.publisherSPRINGER
dc.relation.ispartofMeccanica
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDuffing
dc.subjectMulti-step differential transform method
dc.subjectNon-linear oscillatory equations
dc.subjectRayleigh
dc.subjectVander pol equation and vibration
dc.subject.classificationMechanics
dc.subject.otherFlow measurement
dc.subject.otherOrdinary differential equations
dc.subject.otherDifferential transform method
dc.subject.otherDuffing
dc.subject.otherOscillatory equations
dc.subject.otherPol equation
dc.subject.otherRayleigh
dc.subject.otherNonlinear equations
dc.titleOn numerical solution to fractional non-linear oscillatory equations
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex11
rdl.citation.scopus14
rdl.citation.wos11
rdl.oa.statushybrid
rdl.oa.urlhttps://link.springer.com/content/pdf/10.1007/s11012-012-9661-z.pdf
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)