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

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dc.authorid0000-0002-8509-3044
dc.contributor.authorAydemir, Hilal
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorDemir, Uemit
dc.date.accessioned2026-02-28T12:18:21Z
dc.date.available2026-02-28T12:18:21Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
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.endpage9149
dc.identifier.issn2473-6988
dc.identifier.issue4
dc.identifier.scopus2-s2.0-105004307532
dc.identifier.scopusqualityQ1
dc.identifier.startpage9122
dc.identifier.urihttps://doi.org/10.3934/math.2025420
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6205
dc.identifier.volume10
dc.identifier.wosWOS:001498078000007
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260218
dc.subjectlocal fractional derivative
dc.subjectElzaki-Adomian decomposition method
dc.subjectcontinuous probability distributions
dc.subjectexpectation value
dc.subjectvariance
dc.titleA new approach to solving local fractional Riccati differential equations using the Adomian-Elzaki method
dc.typeArticle

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