Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel

Abstract

In this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon is analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an antiretroviral treatment compartment. The advanced approach is used for HIV/AIDS fractional order model to get reliable outcomes with the help of sumudu transform. The fractional-order HIV/AIDS model is analyzed qualitatively as well as verify unique solutions. Numerical simulations are performed to explain the effects of changing the fractional-order and to support the theoretical results using proposed methods for a range of fractional orders. Also, the comparison has been made with classical order derivative to check the effectiveness of the proposed method for HIV/ AIDS.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).