A novel HIV model through fractional enlarged integral and differential operators

This article presents a novel mathematical fractional model to examine the transmission of HIV. The new HIV model is built using recently fractional enlarged differential and integral operators. The existence and uniqueness findings for the suggested fractional HIV model are investigated using Leray-Schauder nonlinear alternative (LSNA) and Banach's fixed point (BFP) theorems. Furthermore, multiple types of Ulam stability (U-S) are created for the fractional model of HIV. It is straightforward to identify that the gained findings may be decreased to many results obtained in former works of literature.

Automated summary

This article presents a new mathematical fractional model for examining HIV transmission. The model is built using recently developed fractional differential and integral operators. The existence and uniqueness of the model are investigated using Leray-Schauder nonlinear alternative and Banach's fixed point theorems. Additionally, various types of Ulam stability are established for the fractional HIV model. It is evident that the obtained findings can be reduced to many previous results in the literature.