Existence of solutions for a new class of Hattaf mixed fractal-fractional equations modeling the HIV/AIDS disease
Abstract
This paper presents a new definition of Hattaf mixed fractal-fractional derivative which covers many types of fractal and fractional derivatives with singular and non-singular kernels in order to model the complex dynamics in various fields. Furthermore, as an application for our operator, we study the existence of solutions for a model of HIV/AIDS disease by means of fixed point theory.
Copyright © 2026 Hamza El Mamouni, Zakaria Hajhouji, Khalid Hattaf. 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
H. El Mamouni, Z. Hajhouji, K. Hattaf, Existence of solutions for a new class of Hattaf mixed fractal-fractional equations modeling the HIV/AIDS disease, Adv. Fixed Point Theory 16 (2026), 1. https://doi.org/10.28919/afpt/9654
BibTeX
@article{Mamouni2026,
author = {El Mamouni, Hamza and Hajhouji, Zakaria and Hattaf, Khalid},
title = {Existence of solutions for a new class of Hattaf mixed fractal-fractional equations modeling the HIV/AIDS disease},
journal = {Adv. Fixed Point Theory},
volume = {16},
year = {2026},
pages = {1},
doi = {10.28919/afpt/9654}
}