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Solutions of multiplicative linear differential equations via the multiplicative power series method

MakaleAçık Erişim

Özet

In this study, fundamental concepts of multiplicative analysis is given. Also, definitions of multiplicative Taylor series (MTS), multiplicative Taylor polynomials (MTP), and multiplicative power series (MPS) are given. Solutions of higher-order multiplicative linear differential equations (MLDE) are investigated with the help of the MPS method. Applications of MPS method are done for first, second, and third-order multiplicative ordinary linear differential equations. Copyright 2021, Yıldız Technical University.

Anahtar Kelimeler

Multiplicative DerivativeMultiplicative Linear Differential EquationMultiplicative Power Series MethodMultiplicative Taylor Series
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/14381Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.14744/sigma.2023.00091Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorYalcin, Numan
dc.contributor.authorDedeturk, Mutlu
dc.date.accessioned2026-10-22T10:22:38.245449395Z
dc.date.available2026-10-22T10:22:38.245449395Z
dc.date.issued2023
dc.description.abstractIn this study, fundamental concepts of multiplicative analysis is given. Also, definitions of multiplicative Taylor series (MTS), multiplicative Taylor polynomials (MTP), and multiplicative power series (MPS) are given. Solutions of higher-order multiplicative linear differential equations (MLDE) are investigated with the help of the MPS method. Applications of MPS method are done for first, second, and third-order multiplicative ordinary linear differential equations. Copyright 2021, Yıldız Technical University.
dc.identifier.doi10.14744/sigma.2023.00091
dc.identifier.eissn1304-7191
dc.identifier.endpage847
dc.identifier.issn1304-7191
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85197936339
dc.identifier.startpage837
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14381
dc.identifier.volume41
dc.identifier.wosWOS:001879851200001
dc.language.isoen
dc.publisherYildiz Technical University
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMultiplicative Derivative
dc.subjectMultiplicative Linear Differential Equation
dc.subjectMultiplicative Power Series Method
dc.subjectMultiplicative Taylor Series
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationEngineering
dc.subject.otherTRANSFORM
dc.titleSolutions of multiplicative linear differential equations via the multiplicative power series method
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex8
rdl.citation.scopus5
rdl.citation.wos5
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.14744/sigma.2023.00091
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)