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

被引：62
作者：
Farman, Muhammad [1 ,8 ]
Akgul, Ali [2 ]
Tekin, Merve Tastan [2 ]
Akram, Muhammad Mannan [1 ]
Ahmad, Aqeel [3 ]
Mahmoud, Emad E. [4 ]
Yahia, Ibrahim S. [5 ,6 ,7 ]
机构：
[1] Univ Lahore, Dept Math & Stat, Lahore 54590, Pakistan
[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey
[3] Ghazi Univ, Dept Math, D G Khan, Pakistan
[4] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia
[5] King Khalid Univ, Fac Sci, Dept Phys, Lab Nanosmart Mat Sci & Technol LNSMST, POB 9004, Abha 61413, Saudi Arabia
[6] King Khalid Univ, Res Ctr Adv Mat Sci RCAMS, POB 9004, Abha 61413, Saudi Arabia
[7] Ain Shams Univ, Fac Educ, Dept Phys, Nanosci Lab Environm & Biomed Applicat NLEBA,Met L, Cairo 11757, Egypt
[8] Khawaja Fareed Univ Engn & Informat Technol, Dept Math, Rahim Yar Khan, Pakistan
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2022年 / 61卷 / 12期
关键词：
Fractal fractional; Sumudu transforms; Uniqueness; Stability; Simulation; SCHEMES;
D O I：
10.1016/j.aej.2022.04.030
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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/).
引用
收藏
页码：10965 / 10980
页数：16
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