[HTML][HTML] Fractional crossover delay differential equations of Mittag-Leffler kernel: Existence, uniqueness, and numerical solutions using the Galerkin algorithm based …

H Sweis, N Shawagfeh, OA Arqub - Results in Physics, 2022 - Elsevier
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 …

Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel

Z Ahmad, F Ali, N Khan, I Khan - Chaos, Solitons & Fractals, 2021 - Elsevier
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 …

A new fractional model for tuberculosis with relapse via Atangana–Baleanu derivative

MA Khan, S Ullah, M Farooq - Chaos, Solitons & Fractals, 2018 - Elsevier
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 …

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 …

Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller

C Baishya, RN Premakumari, ME Samei… - Chaos, Solitons & …, 2023 - Elsevier
Nuclear magnetic resonance is commonly used in engineering, chemistry, and medicine to
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 …

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 …

Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay

S Abbas, S Tyagi, P Kumar, VS Ertürk… - … Methods in the …, 2022 - Wiley Online Library
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 …

New aspects of the adaptive synchronization and hyperchaos suppression of a financial model

A Jajarmi, M Hajipour, D Baleanu - Chaos, Solitons & Fractals, 2017 - Elsevier
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 …

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 …