On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative

MakaleAçık ErişimScopus SJRQ3

Özet

Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the 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. The behavior of the solutions and the effects of different values of fractional order α are indicated graphically. The results obtained by the FVIM reveal that the method is very reliable, convenient, and effective method for nonlinear differential equations with modified Riemann-Liouville derivative

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https://rdlopen.rawdatalibrary.net/r/gumushane/15348Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1155/2012/346089Yayıncı resmi DOI adresi
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Scopus
46
WoS
31
OpenAlex
49
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:23:54.418587750Z
dc.date.available2026-10-22T10:23:54.418587750Z
dc.date.issued2012
dc.description.abstractFractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the 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. The behavior of the solutions and the effects of different values of fractional order α are indicated graphically. The results obtained by the FVIM reveal that the method is very reliable, convenient, and effective method for nonlinear differential equations with modified Riemann-Liouville derivative
dc.identifier.articlenumber346089
dc.identifier.doi10.1155/2012/346089
dc.identifier.eissn1687-9651
dc.identifier.issn1687-9651
dc.identifier.scopus2-s2.0-84880142334
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15348
dc.identifier.volume2012
dc.identifier.wosWOS:000214963600007
dc.language.isoen
dc.publisherHINDAWI LTD
dc.relation.ispartofInternational Journal of Differential Equations
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherVARIATIONAL ITERATION METHOD
dc.subject.otherHOMOTOPY PERTURBATION METHOD
dc.subject.otherGROWTH
dc.subject.otherMODELS
dc.titleOn the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex49
rdl.citation.scopus46
rdl.citation.wos31
rdl.oa.statusgold
rdl.oa.urlhttps://downloads.hindawi.com/journals/ijde/2012/346089.pdf
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)