Approximate analytical solutions of the nonlinearfractional order financial model by two efficientmethods with a comparison study
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Samara State Technical Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The 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
Açıklama
Anahtar Kelimeler
approximate solutions, fractional nonlinear financial model, resi-dual power series method, Elzaki transform decomposition method
Kaynak
Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta-Seriya-Fiziko-Matematicheskiye Nauki
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
28
Sayı
2
