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.