Results 51 to 60 of about 2,408 (168)

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Solution to Asymptotic Stability in Tracking Control of Nonlinear Systems With Control Input Differentiation, Actuator Dynamics, and Saturation Constraints

IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.
The work delivers a rigorous mathematical framework for asymptotic tracking in nonlinear systems that explicitly include control‐input derivatives, actuator dynamics, and input saturation, with Lyapunov‐based proofs establishing convergence and robustness under their coupled effects.
Mohammad Reza Homaeinezhad, Mir Mohammad Mousavi Alvar, Ali Soordi, Mojtaba Aghaei, Ali Hatefikousha, Taha Charehjoo   +5 more
wiley   +1 more source

A Fractional‐Order Complexity Framework for Misinformation Propagation With Fact‐Checking Saturation and Social Vulnerability Dynamics

Complexity, Volume 2026, Issue 1, 2026.
Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real‐world complexities: People remember past information (memory effects), some folks are more easily fooled than others (vulnerability), and fact‐checkers can get overwhelmed during big outbreaks (saturation).
Shewafera Wondimagegnhu Teklu, M. A. Abdelkawy, Waleed Adel, Pramita Mishra   +3 more
wiley   +1 more source

Complex Dynamical Analysis of Two Factors of Fractional‐Order Conflict Model With Time Delay and Feedback Control Strategy: With Focus on China’s Internet Conflicts

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This paper will go beyond the traditional case study method used by most of the existing literature on Chinese internet conflict: instead, a mathematical model will be developed to explore the dynamics of the conflict, establishing a new delayed two‐factor fractional‐order model with feedback controls.
Hao Xiong, Li Deng, Zhouhong Li, Ahmed Ezzat Matouk   +3 more
wiley   +1 more source

On three-dimensional variable order time fractional chaotic system with nonsingular kernel [PDF]

We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the approximate solution of a variable order fractional three-dimensional chaotic process.
Hashemi, Mir Sajjad, İnç, Mustafa, Yusuf, Abdullahi   +2 more
core   +1 more source

One step multiderivative methods for first order ordinary differential equations [PDF]

, 1981
A family of one-step multiderivative methods based on Padé approximants to the exponential function is developed. The methods are extrapolated and analysed for use in PECE mode.
A. Q. M. Khaliq, A. R. Gourlay, B. L. Ehle, B. Lindberg, E. H. Twizell, J. D. Lambert, J. D. Lambert, J. D. Lawson, J. D. Lawson, O. Axelsson, W. E. Milne   +10 more
core   +1 more source

Innovative Approaches in Differential Equation Analysis Using the Enhanced Differential Transform and Homotopy Perturbation Method

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high‐dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of existing numerical methods, which tend to have difficulties in terms of accuracy and efficiency ...
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Sarita Simaiya, Lidia Gosy Tekeste, Gaston Mandata N′Guerekata   +6 more
wiley   +1 more source

A study on fractional tumour–immune–vitamins model for intervention of vitamins

Results in Physics, 2022
Cancer is a very challenging issue in terms of people’s health and lives around the world. Cancer refers to a collection of illnesses distinguished by the formation of tumour cells, malignant cells, or cancer cells that have the potential to become ...
Sunil Kumar, R.P. Chauhan, Abdel-Haleem Abdel-Aty, Sayed F. Abdelwahab   +3 more
doaj   +1 more source

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam, M. J. Abedin, A. Hoque, M. G. Hafez, Jaume Giné   +4 more
wiley   +1 more source

Fractional order analysis of modified stretch–twist–fold flow with synchronization control

AIP Advances, 2020
Nonlinear behavior and fractional order chaoticity with synchronization control of modified stretch–twist–fold (MSTF) flow are studied in this article.
Muhammad Fiaz, Muhammad Aqeel
doaj   +1 more source