Fractional Hamiltonian analysis of irregular systems

被引:53
作者
Baleanu, Dumitru [1 ]
机构
[1] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[2] Inst Space Sci, R-76900 Bucharest, Romania
关键词
fractional differintegration; irregular Hamiltonian systems; fractional Euler-Lagrange equations; fractional Hamilton equations;
D O I
10.1016/j.sigpro.2006.02.008
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The fractional Hamiltonian systems with linearly dependent constraints are investigated within fractional Riemann-Liouville derivatives. One example is analyzed in details and the consistency of fractional Euter-Lagrange and Hamilton equations is examined. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:2632 / 2636
页数:5
相关论文
共 23 条
[1]   Formulation of Euler-Lagrange equations for fractional variational problems [J].
Agrawal, OP .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (01) :368-379
[2]   Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives [J].
Baleanu, D ;
Muslih, SI .
PHYSICA SCRIPTA, 2005, 72 (2-3) :119-121
[3]   Lagrangians with linear velocities within Riemann-Liouville fractional derivatives [J].
Baleanu, D ;
Avkar, T .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2004, 119 (01) :73-79
[4]   About Fractional Calculus of Singular Lagrangians [J].
Baleanu, Dumitru .
JOURNAL OF ADVANCED COMPUTATIONAL INTELLIGENCE AND INTELLIGENT INFORMATICS, 2005, 9 (04) :395-398
[5]   Existence of local degrees of freedom for higher dimensional pure Chern-Simons theories [J].
Banados, M ;
Garay, LJ ;
Henneaux, M .
PHYSICAL REVIEW D, 1996, 53 (02) :R593-R596
[6]  
Dirac P.A.M., 1964, LECT QUANTUM MECH
[7]  
Henneaux M., 1992, Quantization of Gauge Systems, DOI 10.1515/9780691213866
[9]   Lagrangean and Hamiltonian fractional sequential mechanics [J].
Klimek, M .
CZECHOSLOVAK JOURNAL OF PHYSICS, 2002, 52 (11) :1247-1253
[10]   Stochastic quantization of nonlocal fields [J].
Lim, SC ;
Muniandy, SV .
PHYSICS LETTERS A, 2004, 324 (5-6) :396-405