A new approach to solving local fractional Riccati differential equations using the Adomian-Elzaki method

MakaleAçık Erişim

Özet

The Elzaki-Adomian decomposition method (EADM) is intended to serve as an efficient analytical method for the resolution of these original fractional-order Riccati differential equations. This can be accomplished permanently by incorporating the Adomian decomposition method with Elzaki. The local fractional derivative is implemented in this format. Particularly in the context of nonlinear differential equations (ODE), this approach is preferred over digital gaps. Additionally, the method’s convergence. Random individuals with uniform, beta, normal, and gamma distributions are used to select the initial conditions or coefficients of the equations. The variance, confidence interval, and expected value of the solutions that are obtained will be determined. MATLAB (2013a) package software will be employed to display the individuals that were brought together, and the results will be analyzed randomly.

Anahtar Kelimeler

RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/12414Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.3934/math.2025420Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAydemir, Hilal
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorDemir, Ümit
dc.date.accessioned2026-10-22T10:20:04.817348109Z
dc.date.available2026-10-22T10:20:04.817348109Z
dc.date.issued2025
dc.description.abstractThe Elzaki-Adomian decomposition method (EADM) is intended to serve as an efficient analytical method for the resolution of these original fractional-order Riccati differential equations. This can be accomplished permanently by incorporating the Adomian decomposition method with Elzaki. The local fractional derivative is implemented in this format. Particularly in the context of nonlinear differential equations (ODE), this approach is preferred over digital gaps. Additionally, the method’s convergence. Random individuals with uniform, beta, normal, and gamma distributions are used to select the initial conditions or coefficients of the equations. The variance, confidence interval, and expected value of the solutions that are obtained will be determined. MATLAB (2013a) package software will be employed to display the individuals that were brought together, and the results will be analyzed randomly.
dc.identifier.doi10.3934/math.2025420
dc.identifier.eissn2473-6988
dc.identifier.endpage9149
dc.identifier.issn2473-6988
dc.identifier.issue4
dc.identifier.scopus2-s2.0-105004307532
dc.identifier.startpage9122
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/12414
dc.identifier.volume10
dc.identifier.wosWOS:001498078000007
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.ispartofAIMS Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectcontinuous probability distributions
dc.subjectElzaki-Adomian decomposition method
dc.subjectexpectation value
dc.subjectlocal fractional derivative
dc.subjectvariance
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherDECOMPOSITION METHOD
dc.subject.otherMODEL
dc.titleA new approach to solving local fractional Riccati differential equations using the Adomian-Elzaki method
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex2
rdl.citation.scopus1
rdl.citation.wos1
rdl.oa.statusgold
rdl.oa.urlhttp://www.aimspress.com/aimspress-data/math/2025/4/PDF/math-10-04-420.pdf
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)