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A numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative

MakaleAçık Erişim

Özet

In this paper, the fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. Numerical results showed the FVIM is powerful, reliable and effective method when applied strongly nonlinear equations with modified Riemann-Liouville derivative.

Anahtar Kelimeler

Fractional variational iteration methodRiemann-Liouville derivativeTime-fractional Swift-Hohenberg (S-H)
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15662Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.apm.2012.09.003Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:24:21.226644697Z
dc.date.available2026-10-22T10:24:21.226644697Z
dc.date.issued2013
dc.description.abstractIn this paper, the fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. Numerical results showed the FVIM is powerful, reliable and effective method when applied strongly nonlinear equations with modified Riemann-Liouville derivative.
dc.identifier.doi10.1016/j.apm.2012.09.003
dc.identifier.eissn1872-8480
dc.identifier.endpage4231
dc.identifier.issn0307-904X
dc.identifier.issue6
dc.identifier.scopus2-s2.0-84872605462
dc.identifier.startpage4224
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15662
dc.identifier.volume37
dc.identifier.wosWOS:000316706300048
dc.language.isoen
dc.publisherELSEVIER SCIENCE INC
dc.relation.ispartofApplied Mathematical Modelling
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFractional variational iteration method
dc.subjectRiemann-Liouville derivative
dc.subjectTime-fractional Swift-Hohenberg (S-H)
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationMathematics, Interdisciplinary Applications
dc.subject.classificationMechanics
dc.subject.classificationEngineering
dc.subject.classificationMathematics
dc.subject.otherIterative methods
dc.subject.otherNumerical methods
dc.subject.otherApproximate solution
dc.subject.otherModified Riemann-Liouville derivative
dc.subject.otherNew applications
dc.subject.otherNumerical results
dc.subject.otherTime-fractional Swift-Hohenberg (S-H)
dc.subject.otherVariational iteration method
dc.subject.otherLiouville equation
dc.titleA numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex25
rdl.citation.scopus27
rdl.citation.wos20
rdl.oa.statusbronze
rdl.oa.urlhttps://www.sciencedirect.com/science/article/pii/S0307904X12005008/pdf
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)