Mathematical modeling and analysis of the dynamics of a nonlinear finance system via Hattaf fractional derivative and fixed point theory
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.
Copyright © 2026 Khadija Toufiq, Sara Lasfar, Khalid Hattaf, Khalid Adnaoui. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
K. Toufiq, S. Lasfar, K. Hattaf, K. Adnaoui, Mathematical modeling and analysis of the dynamics of a nonlinear finance system via Hattaf fractional derivative and fixed point theory, Adv. Fixed Point Theory 16 (2026), 5. https://doi.org/10.28919/afpt/9690
BibTeX
@article{Toufiq2026,
author = {Toufiq, Khadija and Lasfar, Sara and Hattaf, Khalid and Adnaoui, Khalid},
title = {Mathematical modeling and analysis of the dynamics of a nonlinear finance system via Hattaf fractional derivative and fixed point theory},
journal = {Adv. Fixed Point Theory},
volume = {16},
year = {2026},
pages = {5},
doi = {10.28919/afpt/9690}
}