[HTML][HTML] Evolving Tangent Hyperbolic memristor based 6D chaotic model with fractional order derivative: Analysis and applications

NA Khan, MA Qureshi, NA Khan - Partial Differential Equations in Applied …, 2023 - Elsevier
The nonlinear dynamics of fractional order systems and memristor based circuits have
attracted an escalating attention in recent years. This paper reports on a novel six …

Design of intelligent hybrid NAR-GRNN paradigm for fractional order VDP chaotic system in cardiac pacemaker with relaxation oscillator

AH Bukhari, MAZ Raja, H Alquhayz… - Chaos, Solitons & …, 2023 - Elsevier
Managing cardiac disease and abnormal heart rate variability is a challenging problem with
its psychological impact on lifesaving intervention. The research presents a novel machine …

Advanced fractional calculus, differential equations and neural networks: Analysis, modeling and numerical computations

D Baleanu, Y Karaca, L Vázquez… - Physica Scripta, 2023 - iopscience.iop.org
Most physical systems in nature display inherently nonlinear and dynamical properties;
hence, it would be difficult for nonlinear equations to be solved merely by analytical …

Amplitude modulation leads to the disappearance of relaxation oscillations in the Duffing system

J Song, Y Jiang, X Han, Q Bi - Physica Scripta, 2024 - iopscience.iop.org
Relaxation oscillations are pervasive in diverse areas of natural sciences and engineering,
and exploring the dynamical mechanisms of relaxation oscillations is one of the most …

Rich phenomenology of the solutions in a fractional Duffing equation

S Hamaizia, S Jiménez, MP Velasco - Fractional Calculus and Applied …, 2024 - Springer
In this paper, we characterize the chaos in the Duffing equation with negative linear stiffness
and a fractional damping term given by a Caputo fractional derivative of order α ranging from …

Dynamic analysis of a class of fractional‐order dry friction oscillators

J Si, J Xie, P Zhao, H Wang, J Wang… - … Methods in the …, 2025 - Wiley Online Library
This article investigates a class of Duffing nonlinear dynamic systems with fractional‐order
dry friction and conducts in‐depth research on the stability, chaotic characteristics, and …

[PDF][PDF] Partial Differential Equations in Applied Mathematics

NA Khan, MA Qureshi, NA Khan - researchgate.net
The nonlinear dynamics of fractional order systems and memristor based circuits have
attracted an escalating attention in recent years. This paper reports on a novel six …

[引用][C] A New Analytical Approximate Solution of Fractional Coupled Korteweg-De Vries System

HM Ali, AH Noreldeen, AS Ali - Yugoslav Journal of Operations Research, 2023