Farman, MuhammadAkgul, AliTekin, Merve TastanAkram, Muhammad MannanAhmad, AqeelMahmoud, Emad E.Yahia, Ibrahim S.2024-12-242024-12-2420221110-01682090-2670https://doi.org/10.1016/j.aej.2022.04.030https://hdl.handle.net/20.500.12604/6314In 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/).eninfo:eu-repo/semantics/openAccessFractal fractionalSumudu transformsUniquenessStabilitySimulationArticle61121096510980Q1WOS:000799726500008Q12-s2.0-8513013302710.1016/j.aej.2022.04.030