# Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

@article{Xin2019ModelingDA, title={Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk}, author={Baogui Xin and Wei Peng and Yekyung Kwon and Yanqin Liu}, journal={Advances in Difference Equations}, year={2019}, volume={2019}, pages={1-14} }

We propose a new chaotic financial system by considering ethics involvement in a four-dimensional financial system with market confidence. We present a five-dimensional conformable derivative financial system by introducing conformable fractional calculus to the integer-order system. We propose a discretization scheme to calculate numerical solutions of conformable derivative systems. We illustrate the scheme by testing hyperchaos for the system.

## 27 Citations

Taming Hyperchaos with ESDDFD Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk

- Physics
- 2021

Four discrete models using the exact spectral derivative discretization finite difference (ESDDFD) method are proposed for a chaotic five-dimensional, conformable fractional derivative financial…

Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Conﬁdence and Ethics Risk

- Physics
- 2022

: Four discrete models, using the exact spectral derivative discretization ﬁnite difference (ESDDFD) method, are proposed for a chaotic ﬁve-dimensional, conformable fractional derivative ﬁnancial…

Feedback Control of a Chaotic Finance System with Two Delays

- MathematicsComplex.
- 2020

It can find that the delays can make chaos disappear and generate a stable equilibrium or periodic solution, which means the effectiveness of DDFC method.

Research on Computer Modeling of Fractional Differential Equation Applied Mathematics

- Mathematics
- 2021

This paper qualitatively analyzes the stability of the equilibrium solution of a class of fractional chaotic financial systems and the conditions for the occurrence of Hopf bifurcation, and uses the…

A Continuous Time Bertrand Duopoly Game With Fractional Delay and Conformable Derivative: Modeling, Discretization Process, Hopf Bifurcation, and Chaos

- MathematicsFront. Phys.
- 2019

The purpose of this paper is threefold. First, we present a discretization process to obtain numerical solutions of a conformable fractional-order system with delays. Second, we extend the classical…

Fractional-order cuckoo search algorithm for parameter identification of the fractional-order chaotic, chaotic with noise and hyper-chaotic financial systems

- Computer ScienceEng. Appl. Artif. Intell.
- 2020

Robust observer-based stabilizer for perturbed nonlinear complex financial systems with market confidence and ethics risks by finite-time integral sliding mode control

- EngineeringNonlinear Dynamics
- 2021

The investigated adaptive observer-based control strategy can keep the original structure of the system and can be implemented to stabilize other chaotic systems including dynamical economic systems.

Regularization of a multidimensional diffusion equation with conformable time derivative and discrete data

- MathematicsMathematical Methods in the Applied Sciences
- 2019

In this paper, we consider a backward problem for a nonlinear diffusion equation with a conformable derivative in the case of multidimensional and discrete data. We show that this problem is…

Stochastic sub-diffusion equation with conformable derivative driven by standard Brownian motion

- Mathematics
- 2021

This article is concerned with a forward problem for the following sub-di usion equation driven by standard Brownian motion (C∂γ t +A)u(t) = f(t) +B(t)Ẇ (t), t ∈ J := (0, T ), where C∂ t is the…

The solution of conformable Laguerre differential equation using conformable Laplace transform

- Mathematics
- 2021

In this paper, the conformable Laguerre and associated Laguerre differential equations are solved using the Laplace transform. The solution is found to be in exact agreement with that obtained using…

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