Numerical method for fractal-fractional finance system with Hattaf mixed fractal-fractional derivative

Abstract

In this article, we investigate a new financial model with interest rate, investment demand and price index. The proposed model is developed by fractal-fractional differential equations (FFDEs) including Hattaf mixed fractal-fractional (HMFF) derivative. Firstly, we prove that our fractional model is mathematically and financially well-posed by means of fixed point theory. Additionally, a numerical scheme is implemented to generate system trajectories. Finally, numerical simulations are presented, providing a detailed discussion of how variations in the fractal and fractional parameters influence the system's behavior.