Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel

Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel

In this paper, the fractional equations of the mass-spring-damper system with Caputo and Caputo–Fabrizio derivatives are presented. The physical units of the system are preserved by introducing an auxiliary parameter σ. The input of the resulting equations is a constant and periodic source; for the...

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Bibliographic Details
Main Authors: José Francisco Gómez-Aguilar, Huitzilin Yépez-Martínez, Celia Calderón-Ramón, Ines Cruz-Orduña, Ricardo Fabricio Escobar-Jiménez, Victor Hugo Olivares-Peregrino
Format: Article
Language:English
Published: MDPI AG 2015-09-01
Series:Entropy
Subjects:
Caputo fractional derivative
Caputo–Fabrizio fractional derivative
Mittag–Leffler function
fractional-order dynamics
oscillations
mechanical oscillators
Online Access:http://www.mdpi.com/1099-4300/17/9/6289

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http://www.mdpi.com/1099-4300/17/9/6289

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