[HTML][HTML] Fractional crossover delay differential equations of Mittag-Leffler kernel: Existence, uniqueness, and numerical solutions using the Galerkin algorithm based …
In the present work, we consider a class of fractional delay differential equations of order ρ
with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional …
with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional …
Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel
Fractal-fractional operators have been crucial in detecting some hidden chaotic phenomena
that could not be exposed using classical or simple fractional differential and integral …
that could not be exposed using classical or simple fractional differential and integral …
A new fractional model for tuberculosis with relapse via Atangana–Baleanu derivative
In this work, a new fractional order epidemic model for the tuberculosis (TB) disease with
relapse using Atangana–Baleanu derivative is formulated. The basic reproduction number …
relapse using Atangana–Baleanu derivative is formulated. The basic reproduction number …
Approximation methods for solving fractional equations
SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …
fractional equations, which are divided into the fractional differential equations (FDEs), time …
Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller
Nuclear magnetic resonance is commonly used in engineering, chemistry, and medicine to
study complex materials by relating magnetization to applied radiofrequency, gradient, and …
study complex materials by relating magnetization to applied radiofrequency, gradient, and …
[HTML][HTML] A latency fractional order model for HIV dynamics
CMA Pinto, ARM Carvalho - Journal of Computational and Applied …, 2017 - Elsevier
We study a fractional order model for HIV infection where latent T helper cells are included.
We compute the reproduction number of the model and study the stability of the disease free …
We compute the reproduction number of the model and study the stability of the disease free …
HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load
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 …
patterns of the HIV/HCV coinfection. For this, we derive a simple non-integer-order …
Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay
In this manuscript, fractional order is introduced onto a time‐delay differential equation
model of cell‐to‐cell spread of HIV‐1. The fractional derivative of Caputo type is considered …
model of cell‐to‐cell spread of HIV‐1. The fractional derivative of Caputo type is considered …
New aspects of the adaptive synchronization and hyperchaos suppression of a financial model
This paper mainly focuses on the analysis of a hyperchaotic financial system as well as its
chaos control and synchronization. The phase diagrams of the above system are plotted and …
chaos control and synchronization. The phase diagrams of the above system are plotted and …
An efficient nonstandard finite difference scheme for a class of fractional chaotic systems
M Hajipour, A Jajarmi… - Journal of …, 2018 - asmedigitalcollection.asme.org
In this paper, we formulate a new nonstandard finite difference (NSFD) scheme to study the
dynamic treatments of a class of fractional chaotic systems. To design the new proposed …
dynamic treatments of a class of fractional chaotic systems. To design the new proposed …