Chaos and control in a fractional-order financial model: a non-local dynamical approach

Title

Chaos and control in a fractional-order financial model: a non-local dynamical approach

Creator

Praveenkumar, B.; Veeresha, P.

Description

The idea of financial resources is all encompassing and crucial to every facet of human existence; it also has indirect relationships to people, communities, cities, and nations. Researchers are interested in this topic since it has significant value for a societys progress. This investigation devotes to the analysis of non-local effects of the fractional finance system. In order to make sure the system is well-posed, the boundedness has been examined. Furthermore, the stability analysis investigation confirms the unstable state of the system. Additionally, we show how to use Lyapunov exponents and bifurcation parameter analysis to determine the appropriate range where the system is more chaotic. Using Picards operator, we investigated the existence and uniqueness of the solutions and showed that the system under consideration had two unstable equilibrium points. By using the active control approach, we provide the necessary circumstances for fractional finance systems to synchronize as well as control functions to manage chaos in the considered system, so that we can record the observations. To illustrate the numerical simulations for different parameter values of the finance system, the fractional Eulers method is used, and the chaotic behaviors are captured in figures. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.

Source

International Journal of Dynamics and Control;Volume;13;Issue;10;Article No.;360;

Date

01-01-2025

Publisher

Springer Science and Business Media Deutschland GmbH

Subject

Chaotic behavior; Fractional derivative; Numerical method; Stability; Synchronization of chaos

Coverage

Praveenkumar B., Global Academy of Technology, Bengaluru, India; Veeresha P., Center for Mathematical Needs CHRIST University, Bengaluru, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 2195268X;

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.1007/s40435-025-01866-5

https://www.scopus.com/pages/publications/105018064589?origin=resultslist