Analysis of the model of HIV-1 infection of T-cell with a new approach of fractional derivative

D Baleanu, H Mohammadi, S Rezapour - Advances in Difference …, 2020 - Springer
By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the
mathematical model of HIV. In this way, we review the existence and uniqueness of the …

[HTML][HTML] An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy

S Kumar, R Kumar, J Singh, KS Nisar… - Alexandria Engineering …, 2020 - Elsevier
In the present paper, a HIV-1 infection of CD 4+ T-cells with the impact of drug treatment
model of arbitrary order have been examined with the aid of Legendre wavelet operational …

[HTML][HTML] Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome

MMA Khater, AES Ahmed, MA El-Shorbagy - Results in Physics, 2021 - Elsevier
The computational solutions for the fractional mathematical system form of the HIV-1
infection of CD4+ T-cells are investigated by employing three recent analytical schemes …

A Study on Dynamics of CD4+ T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and …

H Najafi, S Etemad, N Patanarapeelert, JKK Asamoah… - Mathematics, 2022 - mdpi.com
In recent decades, AIDS has been one of the main challenges facing the medical community
around the world. Due to the large human deaths of this disease, researchers have tried to …

[HTML][HTML] Numerical simulation and analysis of the stochastic hiv/aids model in fractional order

ZUA Zafar, MH DarAssi, I Ahmad, TA Assiri, MZ Meetei… - Results in Physics, 2023 - Elsevier
The current work analyzes the HIV/AIDS model under stochastic fractional differential
equations in the Caputo sense. The articulation of the model both in integer and arbitrary …

On the Cattaneo–Christov heat flux model and OHAM analysis for three different types of nanofluids

U Khan, S Ahmad, A Hayyat, I Khan, KS Nisar… - Applied Sciences, 2020 - mdpi.com
In this article, the boundary layer flow of a viscous nanofluid induced by an exponentially
stretching surface embedded in a permeable medium with the Cattaneo–Christov heat flux …

Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD4+ T-cells considering the impact of antiviral drug treatment

Ş Yüzbaşı, M Izadi - Applied Mathematics and Computation, 2022 - Elsevier
In this paper, two numerical methods based on the novel Bessel polynomials are developed
to solve the fractional-order HIV-1 infection model of CD 4+ T-cells considering the impact of …

[HTML][HTML] Dynamical behaviour of HIV/AIDS model using fractional derivative with Mittag-Leffler kernel

A Shaikh, KS Nisar, V Jadhav, SK Elagan… - Alexandria Engineering …, 2022 - Elsevier
A mathematical model describing the HIV/AIDS transmission dynamics in the existence of an
aware community using fractional differential operator having Mittag–Leffler kernel is …

Study of HIV mathematical model under nonsingular kernel type derivative of fractional order

G Nazir, K Shah, A Debbouche, RA Khan - Chaos, Solitons & Fractals, 2020 - Elsevier
In this manuscript, we investigate existence theory as well as stability results to the biological
model of HIV (human immunodeficiency virus) disease. We consider the proposed model …

The dynamics of HIV/AIDS model with fractal-fractional Caputo derivative

S Ullah, M Altanji, MA Khan, A Alshaheri, W Sumelka - Fractals, 2023 - World Scientific
The human immunodeficiency virus (HIV) is a major global public health issue and causes
millions of deaths around the globe. The most severe phase of HIV infection is known as …