Original scientific paper

A fractional approach to nonconservative Lagrangian dynamical systems

El-Nabulsi Ahmad-Rami ; Plasma Application Laboratory, Department of Nuclear and Energy Engineering, and Faculty of Mechanical, Energy and Production Engineering, Cheju National University, Ara-dong 1, Jeju 690-756, Korea

Abstract

In this work, fractional integral calculus is applied in order to derive Lagrangian mechanics of nonconservative systems. In the proposed method, fractional time integral introduces only one parameter, a, while in other models an arbitrary number of fractional parameters (orders of derivatives) appears. Some results on Hamiltonian part of mechanics, namely Hamilton equations, are obtained and discussed in detail.

Keywords

Riemann-Liouville fractional integral; variational calculus; Euler-Lagrange equation; weak dissipation

Hrčak ID:

302010

URI

https://hrcak.srce.hr/302010

Publication date:

2.10.2005.

Article data in other languages: croatian

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