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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 14 (2024), Article ID 5

Mathematical analysis of the dynamics of a fractional economic cycle model and the existence of solutions by means of fixed point theory

Sara Lasfar, Maha Elkarmouchi, Khalid Hattaf, Noura Yousfi

PDF (493.5 KB) https://doi.org/10.28919/afpt/8350

Abstract

This paper proposes a new fractional business cycle model with general investment and variable depreciation rate involving the generalized Hattaf fractional (GHF) derivative. The existence of the model solutions is rigorously established using fixed point theory. Additionally, the mathematical analysis of the dynamics of the proposed fractional model including the stability of economic equilibrium is fully investigated. Furthermore, numerical simulations are presented to illustrate our theoretical results.

Published
25 January 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 Sara Lasfar, Maha Elkarmouchi, Khalid Hattaf, Noura Yousfi. 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

S. Lasfar, M. Elkarmouchi, K. Hattaf, N. Yousfi, Mathematical analysis of the dynamics of a fractional economic cycle model and the existence of solutions by means of fixed point theory, Adv. Fixed Point Theory 14 (2024), 5. https://doi.org/10.28919/afpt/8350

BibTeX
@article{Lasfar2024,
  author  = {Lasfar, Sara and Elkarmouchi, Maha and Hattaf, Khalid and Yousfi, Noura},
  title   = {Mathematical analysis of the dynamics of a fractional economic cycle model and the existence of solutions by means of fixed point theory},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {5},
  doi     = {10.28919/afpt/8350}
}