On Hamiltonian Formulation of Non-Conservative Systems

Eqab M. RABEI; Tareq S. ALHALHOLY

Makale detayları

On Hamiltonian Formulation of Non-Conservative Systems

Yazarlar:

Eqab M. RABEI | Tareq S. ALHALHOLY

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2004 Vol.28 Issue 4, pp.213-221

Belge Tipi:

Makale

Yayın Tarihi:

3/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000761683

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

Fractional derivatives are used to construct the Lagrangian  and the Hamiltonian formulation for non-conservative systems.  To  clarify the theory of Riewe two interesting examples are given.  The  potentials are obtained using the Laplace transform operator for  fractional derivatives and the Lagrangian and Hamiltonian formulations  are constructed for the two systems.  Besides, it is shown that the  Hamilton equations of motion are in agreement with the Euler-Lagrange  equations for these systems.

 

Fractional derivatives are used to construct the Lagrangian  and the Hamiltonian formulation for non-conservative systems.  To  clarify the theory of Riewe two interesting examples are given.  The  potentials are obtained using the Laplace transform operator for  fractional derivatives and the Lagrangian and Hamiltonian formulations  are constructed for the two systems.  Besides, it is shown that the  Hamilton equations of motion are in agreement with the Euler-Lagrange  equations for these systems.

Makale detayları

On Hamiltonian Formulation of Non-Conservative Systems

Yazarlar:

Eqab M. RABEI | Tareq S. ALHALHOLY

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2004 Vol.28 Issue 4, pp.213-221

Belge Tipi:

Makale

Yayın Tarihi:

3/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000761683

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Fractional derivatives

Hamiltonian Systems

Non-Conservative systems

Laplace Transform.

Sayı

Makale detayları

On Hamiltonian Formulation of Non-Conservative Systems

Yazarlar: Eqab M. RABEI | Tareq S. ALHALHOLY

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2004 Vol.28 Issue 4, pp.213-221

Belge Tipi: Makale

Yayın Tarihi: 3/2004

Belge Dili: Türkçe

Document ID (Org No.): 2000761683

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Fractional derivatives

Hamiltonian Systems

Non-Conservative systems

Laplace Transform.

Sayı

Yazarlar:

Eqab M. RABEI | Tareq S. ALHALHOLY

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2004 Vol.28 Issue 4, pp.213-221

Belge Tipi:

Makale

Yayın Tarihi:

3/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000761683

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101