On Hamiltonian formulation of non-conservative systems

Turkish Journal of Physics

Volumn 28, Issue 4, 2004, Pages 213-221

  Rabei, Eqab M ^a   Alhalholy, Tareq S ^a   Taani, A A ^a  

^a MUTAH UNIVERSITY   (Jordan)

Author keywords

Fractional derivatives; Hamiltonian Systems; Laplace Transform; Non Conservative systems

Indexed keywords

COMPUTATIONAL METHODS; EQUATIONS OF MOTION; FRICTION; LAGRANGE MULTIPLIERS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS;

FRACTIONAL DERIVATIVES; HAMILTONIAN SYSTEMS; NON-CONSERVATIVE SYSTEMS;

HAMILTONIANS;

EID: 4944250786     PISSN: 13000101     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. nded. ( McGraw-Hill Companies. 1986)
2. nded, (Addison Wesley. 1980)
3. E. Celeghini, M. Rasetti, M. Tarlini, And G. Vitiello, Mod. Phys. Lett., B3, (1989), 1213.
4. P.M. Morse and H. Feshbach, Methods of Theoretical Physics, (Me Graw-Hill, NewYork 1953), p. 298.
5. L.H. Yu and C. P. Sun, Physical Review A, 49, (1994), 592.
6. F. Riewe, Physical Review E. 53, (1996), 1890.
7. F. Riewe, Physical Review E, 55, (1997), 3581.
8. E. Rabei, T. Alhalholy and A. Rousan, Potentials of Arbitrary Forces with Fractional Derivatives, accepted for Publication in International Journal of Modern Physics A.
9. R. Gorenflo and F. Mainardi, Fractional Calculus:Integral and Differential Equations of Fractional Orders, Fractals and Fractional Calculus in Continuum Mechanics, (Springer Verlage, Wien and New York 1997) p. 223.
10. O.P. Agrawal, A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives, ASME Design Engeneering Technical Conference, (1998).
11. A. Shokooh and L. Suarez, Journal of Vibration and Control, 5, (1999), 331.
12. H. Hilton and S. Yi, Generalized Viscoelastic 1-DOF Deterministic Nonlinear Oscillators, (1997) Submitted to Journal of Nonlinear Mechanics.
13. thed. (Saunders College Publishing 1993).