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

Alexandria Engineering Journal

Muhammad Mannan Akram¹  Ali Akgül²  Aqeel Ahmad³  Merve Taştan Tekin³  Emad E. Mahmoud⁴  Muhammad Farman⁴  Ibrahim S. Yahia⁵ 

[1] Corresponding author.;Department of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan;Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt Turkey;Department of Mathematics and Statistics, University of Lahore, Lahore 54590, Pakistan;Department of Mathematics, Ghazi University, D. G. Khan, Pakistan;

关键词: Fractal fractional;    Sumudu transforms;    Uniqueness;    Stability;    Simulation;   

DOI  :  

来源: DOAJ

【 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.

【 授权许可】

Unknown