Fractional Hamiltonian analysis of higher order derivatives systems

被引：65

作者：

Baleanu, Dumitru ^{[1
]}

Muslih, Sami I.

Tas, Kenan

机构：

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

[2] Inst Space Sci, Magurele 76900, Romania

[3] Al Azhar Univ, Dept Phys, Gaza, Palestine, Israel

[4] Abdus Salaam Int Ctr Theoret Phys, Trieste, Italy

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2006年 / 47卷 / 10期

关键词：

D O I：

10.1063/1.2356797

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski's formulation is obtained. The fractional path integral of both simple harmonic oscillator with an acceleration-squares part and a damped oscillator are analyzed. The classical results are obtained when fractional derivatives are replaced with the integer order derivatives. (c) 2006 American Institute of Physics.

引用

页数：8

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