@article{Hyder2023, 
author = {Abd-Allah Hyder and Mohamed A. Barakat and Doaa Rizk and Rasool Shah and Kamsing Nonlaopon},
title = {Study of HIV model via recent improved fractional differential and integral operators},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {1},
pages = {1656-1671},
keywords = {human immunodeficiency virus, fractional mathematical modeling, fractional operators},
url = {https://www.sciopen.com/article/10.3934/math.2023084},
doi = {10.3934/math.2023084},
abstract = {In this article, a new fractional mathematical model is presented to investigate the contagion of the human immunodeficiency virus (HIV). This model is constructed via recent improved fractional differential and integral operators. Other operators like Caputo, Riemann-Liouville, Katugampola, Jarad and Hadamard are being extended and generalized by these improved fractional differential and integral operators. Banach's and Leray-Schauder nonlinear alternative fixed point theorems are utilized to examine the existence and uniqueness results of the proposed fractional HIV model. Moreover, different kinds of Ulam stability for the fractional HIV model are established. It is simple to recognize that the extracted results can be reduced to some results acquired in multiple works of literature.}
}