Fractional Euler-Lagrange Equations Applied to Oscillatory Systems

Fractional Euler-Lagrange Equations Applied to Oscillatory Systems

In this paper, we applied the Riemann-Liouville approach and the fractional Euler-Lagrange equations in order to obtain the fractional nonlinear dynamic equations involving two classical physical applications: “Simple Pendulum” and the “Spring-Mass-Damper System” to both integer order calculus (IOC...

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Bibliographic Details
Main Authors: Sergio Adriani David, Carlos Alberto Valentim
Format: Article
Language:English
Published: MDPI AG 2015-04-01
Series:Mathematics
Subjects:
Fractional calculus
oscillatory systems
dynamic systems
modeling
simulation.
Online Access:http://www.mdpi.com/2227-7390/3/2/258

Internet

http://www.mdpi.com/2227-7390/3/2/258

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