A study on fractional order financial model by using Caputo–Fabrizio derivative

Autor: R.P. Chauhan, Sunil Kumar, Badr Saad T. Alkahtani, Sara S. Alzaid
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Physics, Vol 57, Iss , Pp 107335- (2024)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2024.107335
Popis: This paper aims to provide an understanding of the dynamics and behavior of the financial model in the context of fractional differential equations. The model explores the interactions and connections among four key financial variables: interest rates, investment demand, price index, and savings amounts. We establish the existence of unique solution for the fractional financial model and stability of the model using iterative approach by employing Banach’s fixed point theory. A numerical method is carried out to perform the numerical simulation of the Caputo–Fabrizio financial model. The work capitalizes on the insights gained by scrutinizing the repercussions stemming from variations in model parameters on the dynamics of the solutions obtained through our numerical scheme. Our findings highlight that the interplay among diverse financial components can lead to chaotic behavior in specific scenarios.
Databáze: Directory of Open Access Journals