A new fractional analysis on the interaction of HIV with CD4+ T-cells

A Jajarmi, D Baleanu - Chaos, Solitons & Fractals, 2018 - Elsevier
Mathematical modeling of biological systems is an interesting research topic that attracted
the attention of many researchers. One of the main goals in this area is the design of …

Stability analysis and numerical solutions of fractional order HIV/AIDS model

A Khan, JF Gómez-Aguilar, TS Khan, H Khan - Chaos, Solitons & Fractals, 2019 - Elsevier
In this work, we study the Fractional Order (FO) model HIV/AIDS involving the Liouville–
Caputo and Atangana–Baleanu–Caputo derivatives. The generalized HIV/AIDS model …

[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 …

HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load

ARM Carvalho, C Pinto, D Baleanu - Advances in Difference Equations, 2018 - Springer
We study the burden of the HIV viremia and of treatment efficacy in the severity of the
patterns of the HIV/HCV coinfection. For this, we derive a simple non-integer-order …

[HTML][HTML] The solution of fractional order epidemic model by implicit Adams methods

I Ameen, P Novati - Applied Mathematical Modelling, 2017 - Elsevier
We consider the numerical solution of the fractional order epidemic model on long time
intervals of a non-fatal disease in a population. Under real-life initial conditions the problem …

[HTML][HTML] Mathematical simulations and sensitivity visualization of fractional order disease model describing human immunodeficiency

MA Ullah, N Raza, T Nazir - Alexandria Engineering Journal, 2024 - Elsevier
In this study, we explore a mathematical model of human immunodeficiency virus type 1
(HIV-1) infection in CD4+ T-cells, considering fractional-order dynamics in the Caputo …

Impacts of the fractional derivatives on unsteady magnetohydrodynamics radiative Casson nanofluid flow combined with Joule heating

SE Ahmed, AAM Arafa - Physica Scripta, 2020 - iopscience.iop.org
This paper presents a mathematical formulation and numerical simulations of an unsteady
magnetohydrodynamic non-Newtonian nanofluid flow and entropy generation over a vertical …

[HTML][HTML] A fractional-order model of HIV infection with drug therapy effect

AAM Arafa, SZ Rida, M Khalil - Journal of the Egyptian Mathematical …, 2014 - Elsevier
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Application of residual power series method to fractional coupled physical equations arising in fluids flow

A Arafa, G Elmahdy - International Journal of Differential …, 2018 - Wiley Online Library
The approximate analytical solution of the fractional Cahn‐Hilliard and Gardner equations
has been acquired successfully via residual power series method (RPSM). The approximate …

[HTML][HTML] On a fractional-order model for HBV infection with cure of infected cells

SM Salman, AM Yousef - Journal of the Egyptian Mathematical Society, 2017 - Elsevier
In this work, a fractional-order model for HBV infection with cure of infected cells is
considered. Local asymptotic stability of equilibria is discussed. Numerical simulation using …