Analysis of the financial chaotic model with the fractional derivative operator
type: Item
instance of: scholarly article
title: Analysis of the financial chaotic model with the fractional derivative operator
zbMATH Open document ID: 1444.91220
DOI: 10.1155/2020/9845031
author: Mamadou L. Diouf
author: Ndolane Sene
published in: Complexity
publication date: 2020-10-20T00:00:00Z
review text: Summary: Numerical discretization for the fractional differential equations is applied to the chaotic financial model described by the Caputo derivative. The graphical representations to support the numerical discretization are presented. We profit by analyzing the impact generated by the variations of the saving rate, the per investment cost, and the elasticity of demands in the dynamics of the solutions obtained with our numerical scheme. Notably, we use bifurcation diagrams to quantify the impact of the saving rate, the per investment cost, and the elasticity of demands, as well as the Lyapunov exponent to characterize the existence of chaos for the chosen value of the fractional order. The chaos observed depends strongly on these previously mentioned parameters. We finish by proposing a suitable control to synchronize the drive system and the response fractional financial model, using Lyapunov direct methods. The stability analysis of the equilibrium points of the chaotic financial model has been presented.
Mathematics Subject Classification ID: 91G80
Mathematics Subject Classification ID: 37N40
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7262638
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/9845031
OpenAlex ID: W3037091111
cites work: Chaotic fractional-order Coullet system: synchronization and control approach
cites work: 0-1 test for chaos in a fractional order financial system with investment incentive
cites work: Chaos and Hopf bifurcation of a finance system
cites work: Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
cites work: Chaos and complexity in a fractional-order financial system with time delays
cites work: On the generalized fractional derivatives and their Caputo modification
cites work: Q5699297
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Second-grade fluid model with Caputo-Liouville generalized fractional derivative
cites work: Characterizations of two different fractional operators without singular kernel
cites work: On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
cites work: Matlab Code for Lyapunov Exponents of Fractional-Order Systems
description: scientific article