Fractional Euler-Lagrange and fractional Hamilton equations for super symmetric classical model

被引：2

作者：

Baleanu, Dumitru ^{[1
]}

Muslih, Sami I. ^{[2
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[2] Al Azhar Univ, Dept Phys, Gaza, Israel

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2007年 / 15卷 / 04期

关键词：

fractional calculus; fractional Euler-Lagrange equations; fractional Hamilton equations; Berezin algebra;

D O I：

10.1142/S0218348X07003642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractional Euler-Lagrange equations were investigated in the presence of the elements of Berezin algebra. The super fractional Hessian was defined and the fractional Hamiltonian of the super symmetric classical model was constructed.

引用

页码：379 / 383

页数：5

共 34 条

[1] A new Lagrangian and a new Lagrange equation of motion for fractionally damped systems [J].

Agrawal, OP .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2001, 68 (02) :339-341

[2] Formulation of Euler-Lagrange equations for fractional variational problems [J].

Agrawal, OP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (01) :368-379

[3] Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives [J].

Baleanu, D ;

Muslih, SI .

PHYSICA SCRIPTA, 2005, 72 (2-3) :119-121

[4] 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

[5] The Hamilton-Jacobi treatment of supersymmetric quantum mechanics [J].

Baleanu, D ;

Güler, Y .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2001, 16 (13) :2391-2397

[6]

BALEANU D, 2004, P 1 IFAC WORKSH FRAC, P597

[7]

BALEANU D, 2004, P IEEE INT C COMP CY

[8] Fractional Hamiltonian analysis of higher order derivatives systems [J].

Baleanu, Dumitru ;

Muslih, Sami I. ;

Tas, Kenan .

JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (10)

[9] Fractional Hamiltonian analysis of irregular systems [J].

Baleanu, Dumitru .

SIGNAL PROCESSING, 2006, 86 (10) :2632-2636

[10]

BEREZIN FA, 1983, INTRO ALGEBRA ANAL A

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