Chaos in a cancer model via fractional derivatives with exponential decay and Mittag-Leffler law
In this paper, a three-dimensional cancer model was considered using the Caputo-Fabrizio-
Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense …
Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense …
Chaos in Cancer Tumor Growth Model with Commensurate and Incommensurate Fractional‐Order Derivatives
Analyzing the dynamics of tumor‐immune systems can play an important role in the fight
against cancer, since it can foster the development of more effective medical treatments …
against cancer, since it can foster the development of more effective medical treatments …
Chaotic dynamics in a non-linear tumor-immune model with Caputo–Fabrizio fractional operator
In this article, we investigate a tumor-immune and antigen-presenting cells population in the
form of a mathematical model. To achieve greater accuracy in understanding the spread of …
form of a mathematical model. To achieve greater accuracy in understanding the spread of …
Neural network based adaptive backstep** dynamic surface control of drug dosage regimens in cancer treatment
F Zouari - Neurocomputing, 2019 - Elsevier
This manuscript aims at investigating the neural adaptive control of drug dosage regimens in
cancer treatment. The goal of the treatment is to get an appropriate scheme for the drug …
cancer treatment. The goal of the treatment is to get an appropriate scheme for the drug …
[PDF][PDF] Review, design, optimization and stability analysis of fractional-order PID controller
A Soukkou, MC Belhour, S Leulmi - International Journal of …, 2016 - academia.edu
This paper will establish the importance and significance of studying the fractional-order
control of nonlinear dynamical systems. The foundation and the sources related to this …
control of nonlinear dynamical systems. The foundation and the sources related to this …
Utilizing Fractional Artificial Neural Networks for Modeling Cancer Cell Behavior
In this paper, a novel approach involving a fractional recurrent neural network (RNN) is
proposed to achieve the observer-based synchronization of a cancer cell model. According …
proposed to achieve the observer-based synchronization of a cancer cell model. According …
Chaos in a stochastic cancer model
In this paper we develop and analyze a three dimensional cancer model based on the
chaotic behavior. Firstly we construct stochastic environment because of parameters random …
chaotic behavior. Firstly we construct stochastic environment because of parameters random …
Stability switching curves and Hopf bifurcation of a fractional predator–prey system with two nonidentical delays
S Li, Y Zhu, Y Dai, Y Lin - Symmetry, 2022 - mdpi.com
In this paper, we propose and analyze a three-dimensional fractional predator–prey system
with two nonidentical delays. By choosing two delays as the bifurcation parameter, we first …
with two nonidentical delays. By choosing two delays as the bifurcation parameter, we first …
A new approach in cancer treatment regimen using adaptive fuzzy back-step** sliding mode control and tumor-immunity fractional order model
M Sarhaddi, M Yaghoobi - Biocybernetics and Biomedical Engineering, 2020 - Elsevier
Cancer is one of the leading factors of human mortality. The main goal of this article is to
present and control a tumor treatment immunity. It can adaptively benefit from the …
present and control a tumor treatment immunity. It can adaptively benefit from the …
Fuzzy fractional sliding mode observer design for a class of nonlinear dynamics of the cancer disease
S Rooka, R Ghasemi - International Journal of Automation …, 2018 - inderscienceonline.com
The purpose of this paper is designing to optimise controller parameters for improvement of
the performances of cancer dynamic by combining both TS fuzzy sliding mode method and …
the performances of cancer dynamic by combining both TS fuzzy sliding mode method and …