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FIZIKA A 14 (2005) 4, 289 - 298
 
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
E-mail addresses: atomicnuclearengineering@yahoo.com
, doctornab@hotmail.com
Received 13 February 2005; revised manuscript received 9 November 2005
Accepted 14 November 2005 Online 24 February 2006
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.
PACS numbers: 02.30.Xx, 02.40.Gh, 45.20.Jj
UDC 531.314
Keywords: Riemann-Liouville fractional integral, variational calculus, Euler-Lagrange
equation, weak dissipation
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