Existence of solutions for a new class of Hattaf mixed fractal-fractional equations modeling the HIV/AIDS disease

Hamza El Mamouni, Zakaria Hajhouji, Khalid Hattaf
Published 2026-01-05
DOI 10.28919/afpt/9654

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.
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How to Cite this Article

Hamza El Mamouni, Zakaria Hajhouji, Khalid 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), Article ID 1. https://doi.org/10.28919/afpt/9654

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.