Work

Mathematical modeling and analysis of the dynamics of a nonlinear finance system via Hattaf fractional derivative and fixed point theory

Year: 2026

Type: article

Abstract: In this paper, we propose a new mathematical model that describes the dynamics of a nonlinear finance system. The proposed model is formulated by fractional differential equations (FDEs) involving the generalized Hattaf fractional (GHF) derivative. Firstly, we prove that our fractional model is mathematically and financially well-posed by means of fixed point theory. Additionally, we study the existence of equilibria. Furthermore, the stability analysis of the financial model is carefully studied. Finally, numerical simulations are presented to illustrate our theoretical results.

Source: Advances in Fixed Point Theory

DOI: 10.28919/afpt/9690

Authors: Khadija Toufiq, Sara Lasfar, Khalid Hattaf, Khalid Adnaoui

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7127048251

FWCI: 2.094

Cites:

Cited by: 1

Related to: 10