On chaos control of nonlinear fractional Newton-Leipnik system via fractional Caputo-Fabrizio derivatives

N Almutairi, S Saber - Scientific Reports, 2023 - nature.com
In this work, we present a design for a Newton-Leipnik system with a fractional Caputo-
Fabrizio derivative to explain its chaotic characteristics. This time-varying fractional Caputo …

Application of Newton's polynomial interpolation scheme for variable order fractional derivative with power-law kernel

S Naveen, V Parthiban - Scientific Reports, 2024 - nature.com
This paper, offers a new method for simulating variable-order fractional differential operators
with numerous types of fractional derivatives, such as the Caputo derivative, the Caputo …

[HTML][HTML] Inspection of numerical and fractional CMC and water-based hybrid nanofluid with power law and non-singular kernel: A fractal approach

AM Abed, H Shabbir, N Nigar, AH Ali, A Raza - International Journal of …, 2024 - Elsevier
A number of thermal devices might benefit from the usage of nanofluids in solar power. In
this research, the idea of MHD mixed convective hybrid nanofluids including grapheme …

Control of Chaos in the Burke-Shaw system of fractal-fractional order in the sense of Caputo-Fabrizio

S Saber - Journal of Applied Mathematics and Computational …, 2024 - yadda.icm.edu.pl
For the Burke-Shaw system, we propose a fractal-fractional order in the sense of the Caputo-
Fabrizio derivative. The proposed system is solved by utilizing the fractal-fractional …

A mathematical fractal-fractional model to control tuberculosis prevalence with sensitivity, stability, and simulation under feasible circumstances

M Farman, A Shehzad, KS Nisar, E Hincal… - Computers in Biology and …, 2024 - Elsevier
Background: Tuberculosis, a global health concern, was anticipated to grow to 10.6 million
new cases by 2021, with an increase in multidrug-resistant tuberculosis. Despite 1.6 million …

[PDF][PDF] Unveiling the dynamics of drug transmission: A fractal-fractional approach integrating criminal law perspectives

YN Anjam, A Arshad, RT Alqahtani, M Arshad - AIMS Math, 2024 - aimspress.com
The excessive use of drugs has become a growing concern in the current century, with the
global toll of drug-related deaths and disabilities posing a significant public health challenge …

LMI synchronization conditions for variable fractional-order one-sided Lipschitz chaotic systems with gain fluctuations

L Chen, C Liu, AM Lopes, Y Lin, Y Liu… - Chaos, Solitons & Fractals, 2024 - Elsevier
This article addresses the synchronization of general variable fractional-order one-sided
Lipschitz chaotic systems with norm-bounded time-varying parametric uncertainty. A non …

On a class of fractal-fractional differential equations with generalized fractal derivatives and non-singular kernels: a theoretical and numerical study

MR Lemnaouar, K Hattaf - Nonlinear Dynamics, 2025 - Springer
This paper introduces new formulas for generalized Hattaf fractal-fractional operators and
presents a novel formulation of Gronwall's inequality using the generalized Hattaf fractal …

Unveiling the Complexity of HIV Transmission: Integrating Multi-Level Infections via Fractal-Fractional Analysis

YN Anjam, R Turki Alqahtani, NH Alharthi… - Fractal and …, 2024 - mdpi.com
This article presents a non-linear deterministic mathematical model that captures the
evolving dynamics of HIV disease spread, considering three levels of infection in a …

[HTML][HTML] Analytical solutions for a class of variable-order fractional Liu system under time-dependent variable coefficients

KIA Ahmed, HDS Adam, N Almutairi, S Saber - Results in Physics, 2024 - Elsevier
In this article, we present a nonlinear model of the Liu system that includes fractional
derivatives of variable-order. Due to the nonlocality of the dynamical system, we introduce …