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

## TL;DR

This paper introduces a novel four-dimensional financial system incorporating ethics and market confidence, extends it to a five-dimensional conformable fractional system, and develops a discretization scheme to analyze hyperchaos within it.

## Contribution

It presents a new conformable fractional calculus-based financial model with ethics and confidence factors, along with a discretization method for hyperchaos detection.

## Key findings

- Hyperchaos observed in the conformable fractional financial system
- Discretization scheme effectively captures system dynamics
- Model incorporates ethics and confidence into financial chaos analysis

## Abstract

A new chaotic financial system is proposed by considering ethics involvement in a four-dimensional financial system with market confidence. A five-dimensional conformable derivative financial system is presented by introducing conformable fractional calculus to the integer-order system. A discretization scheme is proposed to calculate numerical solutions of conformable derivative systems. The scheme is illustrated by testing hyperchaos for the system.