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On the fractional Riccati differential equation

MakaleAçık Erişim

Özet

In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order α are presented graphically and table. The results obtained by the CFD(conformable fractional derivative) are compared with homotopy perturbation method(HPM), fractional variational iteration method(FVIM).

Anahtar Kelimeler

Conformable fractional derivativeFractional calculusFractional Riccati differential equation
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15166Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.12732/ijpam.v107i1.12Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKhaniyev, Tahir
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:23:40.322029485Z
dc.date.available2026-10-22T10:23:40.322029485Z
dc.date.issued2016
dc.description.abstractIn this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order α are presented graphically and table. The results obtained by the CFD(conformable fractional derivative) are compared with homotopy perturbation method(HPM), fractional variational iteration method(FVIM).
dc.identifier.doi10.12732/ijpam.v107i1.12
dc.identifier.endpage160
dc.identifier.issn1311-8080
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84962097579
dc.identifier.startpage145
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15166
dc.identifier.volume107
dc.language.isoen
dc.publisherAcademic Press
dc.relation.ispartofInternational Journal of Pure and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectConformable fractional derivative
dc.subjectFractional calculus
dc.subjectFractional Riccati differential equation
dc.titleOn the fractional Riccati differential equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex3
rdl.citation.scopus3
rdl.oa.statushybrid
rdl.oa.urlhttps://ijpam.eu/contents/2016-107-1/12/12.pdf
rdl.source.indexSCOPUS