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 …

Mathematical study of polycystic ovarian syndrome disease including medication treatment mechanism for infertility in women

M Batool, M Farman, A Ahmad, KS Nisar - AIMS Public Health, 2023 - pmc.ncbi.nlm.nih.gov
Among women of reproductive age, PCOS (polycystic ovarian syndrome) is one of the most
prevalent endocrine illnesses. In addition to decreasing female fertility, this condition raises …

[HTML][HTML] Application of a time-fractal fractional derivative with a power-law kernel to the Burke-Shaw system based on Newton's interpolation polynomials

N Almutairi, S Saber - MethodsX, 2024 - Elsevier
This paper proposes some updated and improved numerical schemes based on Newton's
interpolation polynomial. A Burke-Shaw system of the time-fractal fractional derivative with a …

Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator

S Jamil, A Bariq, M Farman, KS Nisar, A Akgül… - Scientific Reports, 2024 - nature.com
Respiratory syncytial virus (RSV) is the cause of lung infection, nose, throat, and breathing
issues in a population of constant humans with super-spreading infected dynamics …

Design of stochastic neural networks for the fifth order system of singular engineering model

Z Sabir, MM Babatin, AF Hashem… - … Applications of Artificial …, 2024 - Elsevier
The current investigations provides a stochastic platform using the computational Levenberg-
Marquardt Backpropagation (LMB) neural network (NN) approach, ie, LMB-NN for solving …

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

KS Nisar, M Farman, K Jamil, A Akgul, S Jamil - Plos one, 2024 - journals.plos.org
In this manuscript, we developed a nonlinear fractional order Ebola virus with a novel
piecewise hybrid technique to observe the dynamical transmission having eight …

Analyzing the dynamics of human papillomavirus transmission via fractal and fractional dimensions under Mittag-Leffler Law

M Dasumani, BS Lassong, A Akgül, S Osman… - Modeling Earth Systems …, 2024 - Springer
The human papillomavirus (HPV) is a common sexually transmitted infection and a leading
cause of cervical cancer. The yearly hospitalization rate for diseases linked to HPV is …

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 piecewise nonlinear fractional-order analysis of tumor dynamics: Estrogen effects and sensitivity

SA Zanib, MA Shah - Modeling Earth Systems and Environment, 2024 - Springer
This study aims to develop a mathematical model to identify key factors influencing the anti-
tumor response. We have been proposed a nonlinear fractional-order tumor dynamics …

[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 …