Gümüşhane ÜniversitesiGümüşhane ÜniversitesiAçık Erişim Arşivi · RDL Open

Solving a fractional order model of HIV infection of CD4+ T cells

MakaleAçık Erişim

Özet

In this paper, a multi-step differential transform method (MsDTM) is performed to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems such as a model for HIV infection of CD4+ T cells. The numerical solutions obtained from the proposed method indicate that the approach is easy to implement and accurate when applied to systems of fractional differential equations. Some figures are presented to show the reliability and simplicity of the methods.

Anahtar Kelimeler

A model for HIV infection of cd4<sup>+</sup> t cellsFractional order ordinary differential equation systemsMulti-step differential transform method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15713Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.mcm.2011.05.022Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGokdogan, Ahmet
dc.contributor.authorYildirim, Ahmet
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:24:25.430288879Z
dc.date.available2026-10-22T10:24:25.430288879Z
dc.date.issued2011
dc.description.abstractIn this paper, a multi-step differential transform method (MsDTM) is performed to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems such as a model for HIV infection of CD4+ T cells. The numerical solutions obtained from the proposed method indicate that the approach is easy to implement and accurate when applied to systems of fractional differential equations. Some figures are presented to show the reliability and simplicity of the methods.
dc.identifier.doi10.1016/j.mcm.2011.05.022
dc.identifier.eissn1872-9479
dc.identifier.endpage2138
dc.identifier.issn0895-7177
dc.identifier.issue9-10
dc.identifier.scopus2-s2.0-80051665104
dc.identifier.startpage2132
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15713
dc.identifier.volume54
dc.identifier.wosWOS:000293829300024
dc.language.isoen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartofMathematical and Computer Modelling
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectA model for HIV infection of cd4<sup>+</sup> t cells
dc.subjectFractional order ordinary differential equation systems
dc.subjectMulti-step differential transform method
dc.subject.classificationComputer Science, Interdisciplinary Applications
dc.subject.classificationComputer Science, Software Engineering
dc.subject.classificationMathematics, Applied
dc.subject.classificationComputer Science
dc.subject.classificationMathematics
dc.subject.otherFlow measurement
dc.subject.otherNonlinear equations
dc.subject.otherNumerical methods
dc.subject.otherOrdinary differential equations
dc.subject.otherAnalytical solutions
dc.subject.otherDifferential transform method
dc.subject.otherFractional differential equations
dc.subject.otherFractional order
dc.subject.otherFractional order models
dc.subject.otherFractional order ordinary differential equation systems
dc.subject.otherHIV infection
dc.subject.otherMulti-step
dc.subject.otherNumerical solution
dc.subject.otherT cells
dc.subject.otherDifferentiation (calculus)
dc.titleSolving a fractional order model of HIV infection of CD4+ T cells
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex71
rdl.citation.scopus79
rdl.citation.wos59
rdl.oa.statusbronze
rdl.oa.urlhttps://doi.org/10.1016/j.mcm.2011.05.022
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)