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Numerical solution of the fractional-order Vallis systems using multi-step differential transformation method

MakaleAçık ErişimScopus SJRQ1

Özet

In this paper, we examine a fractional order Vallis systems. We also fulfil a detailed analysis on the stability of equilibrium. Multi-step differential transform method (MsDTM) extends to give approximate and analytical solutions of a fractional order Vallis systems. Numerical simulations are submitted to verify the validity and reliability results obtained from these methods.

Anahtar Kelimeler

Multi-step differential transformation methodNumerical resultsStabilityVallis systems
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15797Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.apm.2012.11.007Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
10
WoS
10
OpenAlex
9
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:24:33.281665365Z
dc.date.available2026-10-22T10:24:33.281665365Z
dc.date.issued2013
dc.description.abstractIn this paper, we examine a fractional order Vallis systems. We also fulfil a detailed analysis on the stability of equilibrium. Multi-step differential transform method (MsDTM) extends to give approximate and analytical solutions of a fractional order Vallis systems. Numerical simulations are submitted to verify the validity and reliability results obtained from these methods.
dc.identifier.doi10.1016/j.apm.2012.11.007
dc.identifier.eissn1872-8480
dc.identifier.endpage6036
dc.identifier.issn0307-904X
dc.identifier.issue8
dc.identifier.scopus2-s2.0-84874565219
dc.identifier.startpage6025
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15797
dc.identifier.volume37
dc.identifier.wosWOS:000316769600034
dc.language.isoen
dc.publisherELSEVIER SCIENCE INC
dc.relation.ispartofApplied Mathematical Modelling
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMulti-step differential transformation method
dc.subjectNumerical results
dc.subjectStability
dc.subjectVallis systems
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationMathematics, Interdisciplinary Applications
dc.subject.classificationMechanics
dc.subject.classificationEngineering
dc.subject.classificationMathematics
dc.subject.otherBeams and girders
dc.subject.otherConvergence of numerical methods
dc.subject.otherDifferential transform method
dc.subject.otherFractional order
dc.subject.otherMulti-step
dc.subject.otherMulti-step differential transformation methods
dc.subject.otherNumerical results
dc.subject.otherNumerical solution
dc.subject.otherStability of equilibrium
dc.subject.otherNumerical methods
dc.titleNumerical solution of the fractional-order Vallis systems using multi-step differential transformation method
dc.typeArticle
rdl.citation.openalex9
rdl.citation.scopus10
rdl.citation.wos10
rdl.oa.statusbronze
rdl.oa.urlhttps://www.sciencedirect.com/science/article/pii/S0307904X12007238/pdf
rdl.scopus.quartileQ1
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)