[PDF][PDF] A fractal-fractional order model to study multiple sclerosis: a chronic disease

K Shah, B Abdalla, T Abdeljawad, MA Alqudah - Fractals, 2024 - researchgate.net
A mathematical model of progressive disease of the nervous system also called multiple
sclerosis (MS) is studied in this manuscript. The proposed model is investigated under the …

[HTML][HTML] The Volterra-Lyapunov matrix theory and nonstandard finite difference scheme to study a dynamical system

M Riaz, K Shah, A Ullah, MA Alqudah, T Abdeljawad - Results in Physics, 2023 - Elsevier
A compartmental model is considered to study the transmission dynamics of COVID-19. The
proposed model is investigated for different results by using Volterra-Lyapunov (VL) matrix …

Stability and computational results for chemical kinetics reactions in enzyme

M Sivashankar, S Sabarinathan, H Khan… - Journal of Mathematical …, 2024 - Springer
Kinetic chemical reactions find applications across various fields. In industrial processes,
they drive the production of essential materials like fertilizers and pharmaceuticals. In …

[HTML][HTML] A nonlinear perturbed coupled system with an application to chaos attractor

H Khan, J Alzabut, JF Gómez-Aguilar, WF Alfwzan - Results in Physics, 2023 - Elsevier
In this paper, a general system of quadratically perturbed system of modified fractional
differential equations (FDEs) is considered for the solution existence, solution uniqueness …

[HTML][HTML] An investigation into the controllability of multivalued stochastic fractional differential inclusions

P Bedi, A Kumar, G Deora, A Khan… - Chaos, Solitons & Fractals …, 2024 - Elsevier
This research aims to investigate the approximate controllability of multivalued impulsive
stochastic fractional differential inclusions in Hilbert space with ABC fractional-order …

Fractal fractional model for tuberculosis: existence and numerical solutions

A Khan, K Shah, T Abdeljawad, I Amacha - Scientific Reports, 2024 - nature.com
This paper deals with the mathematical analysis of Tuberculosis by using fractal fractional
operator. Mycobacterium TB is the bacteria that causes tuberculosis. This airborne illness …

A novel SIRS epidemic model for two diseases incorporating treatment functions, media coverage, and three types of noise

A Alkhazzan, J Wang, Y Nie, H Khan, J Alzabut - Chaos, Solitons & Fractals, 2024 - Elsevier
The paper introduces an innovative stochastic SIRS epidemic model to address the
dynamics of dual diseases in response to the escalating threat of rapidly spreading …

[HTML][HTML] Bifurcation analysis, quasi-periodic and chaotic behavior of generalized Pochhammer-Chree equation

N Abbas, A Hussain, A Khan, T Abdeljawad - Ain Shams Engineering …, 2024 - Elsevier
We take into account the bifurcation analysis of the generalized Pochhammer-Chree (PC)
equation that describes the dynamics of several systems in science and engineering. The …

[HTML][HTML] Analyzing chaotic systems with multi-step methods: Theory and simulations

MM Belhamiti, Z Dahmani, J Alzabut… - Alexandria Engineering …, 2025 - Elsevier
Identifying and analyzing fixed points plays a crucial role in chaos theory for grasping the
system behavior and advancing the understanding of its fundamental mechanics. This study …

[HTML][HTML] On the (k, φ)-Hilfer Langevin fractional coupled system having multi point boundary conditions and fractional integrals

N Pan, A Zada, IL Popa, F Tchier - Ain Shams Engineering Journal, 2024 - Elsevier
In this manuscript, we investigate the (k, φ)-Hilfer Langevin fractional coupled system having
multi point boundary conditions and fractional integrals. This study is crucial as it addresses …