Dynamical behaviour of fractional-order finance system
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Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we developed the fractional-order finance system transmission model. The main objective of this paper is to construct and evaluate a fractional derivative to track the shape of the dynamic chaotic financial system of fractional order. The numerical solution for fractional-order financial system is determined using the Atangana-Baleanu-Caputo (ABC) and Caputo derivatives. Picard-Lindelof's method shows the existence and uniqueness of the solution. Numerical techniques show that ABC derivative strategy can be used effectively to overcome the risk of investment. An active control strategy for controlling chaos is used in this system. The stabilisation of equilibrium is obtained by both theoretical analysis and simulation results.
Açıklama
Anahtar Kelimeler
Finance system, fractional derivative, Picard-Lindelof, stability analysis, price index, 02, 30, Hq, 02, 60, Cb, 02, 30, Gp
Kaynak
Pramana-Journal of Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
94
Sayı
1
