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

Authors :
Farman, Muhammad
Akgül, Ali
Tekin, Merve Taştan
Akram, Muhammad Mannan
Ahmad, Aqeel
Mahmoud, Emad E.
Yahia, Ibrahim S.
Source :
Alexandria Engineering Journal; Dec2022, Vol. 61 Issue 12, p10965-10980, 16p
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
AIDS
HIV
ANTIRETROVIRAL agents

Details

Language :
English
ISSN :
11100168
Volume :
61
Issue :
12
Database :
Supplemental Index
Journal :
Alexandria Engineering Journal
Publication Type :
Academic Journal
Accession number :
160909863
Full Text :
https://doi.org/10.1016/j.aej.2022.04.030