Approximate analytical solutions of the nonlinearfractional order financial model by two efficientmethods with a comparison study

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dc.contributor.authorLiaqat, M. I.
dc.contributor.authorKhan, A.
dc.contributor.authorIrshad, A.
dc.contributor.authorAkguel, A.
dc.contributor.authorProsviryakov, E.
dc.date.accessioned2024-12-24T19:30:01Z
dc.date.available2024-12-24T19:30:01Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe financial system has become prominent and important in globaleconomics, because the key to stabilizing the economy is to secure or controlthe financial system or market. The goal of this study is to determine whether or not the approximateanalytical series solutions obtained by the residual power series method andElzaki transform decomposition method of the fractional nonlinear financialmodel satisfy economic theory. The fractional derivative is used in the senseof the Caputo derivative. The results are depicted numerically and in figures that show the behav-ior of the approximate solutions of the interest rate, investment demand,and price index. Both methods yielded results in accordance with economictheory, which established that researchers could apply these two methods tosolve various types of fractional nonlinear problems that arise in financialsystems
dc.identifier.doi10.14498/vsgtu2055
dc.identifier.issn1991-8615
dc.identifier.issn2310-7081
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85208461017
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.14498/vsgtu2055
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7341
dc.identifier.volume28
dc.identifier.wosWOS:001368119000002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSamara State Technical Univ
dc.relation.ispartofVestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta-Seriya-Fiziko-Matematicheskiye Nauki
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectapproximate solutions
dc.subjectfractional nonlinear financial model
dc.subjectresi-dual power series method
dc.subjectElzaki transform decomposition method
dc.titleApproximate analytical solutions of the nonlinearfractional order financial model by two efficientmethods with a comparison study
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dc.typeArticle

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