Analytical and experimental study for mechanical vibrations of a two-coupled spring masses system via Caputo-based derivatives

DOI10.1002/mma.7421zbMATH Open1543.34034MaRDI QIDQ6551469

Jesús Enrique Escalante-Martínez, J. Juan Rosales-García, Leonardo Martínez-Jiménez, Jorge M. Cruz-Duarte

Publication date: 7 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

fractional calculusCaputo-Fabrizio derivativescuckoo search algorithmcoupled mechanical oscillator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)

Cites Work

• A dynamic viscoelastic analogy for fluid-filled elastic tubes
• General fractional calculus, evolution equations, and renewal processes
• Generalising the Kuramoto model for the study of neuronal synchronisation in the brain
• Fractional-order systems and controls. Fundamentals and applications
• Relaxation and diffusion models with non-singular kernels
• Numerical solution of fractional differential equations: a survey and a software tutorial
• Prabhakar-like fractional viscoelasticity
• A closed form expression for the Gaussian-based Caputo-Fabrizio fractional derivative for signal processing applications
• A new definition of fractional derivative
• New Trends in Nanotechnology and Fractional Calculus Applications
• The fractional diffusion equation
• Stochastic Process with Ultraslow Convergence to a Gaussian: The Truncated Lévy Flight
• A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators
• Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville–Caputo type
• Determination of a physically correct fractional‐order model for electrolytic computer‐grade capacitors
• Parameter Estimation of Fractional Gompertz Model Using Cuckoo Search Algorithm
• The motion of two masses coupled to a finite mass spring
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

Related Items (1)

Editorial of the special issue on modelling, analysis, and applications

This page was built for publication: Analytical and experimental study for mechanical vibrations of a two-coupled spring masses system via Caputo-based derivatives