Hamilton-Jacobi Formulation for Systems in Terms of Riesz's Fractional Derivatives

被引：12

作者：

Rabei, Eqab M. ^{[1
]}

Rawashdeh, Ibrahim M. ^{[1
]}

Muslih, Sami ^{[2
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] Al al Bayt Univ, Dept Phys, Mafraq, Jordan

[2] So Illinois Univ, Dept Mech Engn, Carbondale, IL 62901 USA

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

[4] Inst Space Sci, Magurele 76900, Romania

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2011年 / 50卷 / 05期

关键词：

Fractional calculus of variation; Lagrangian formulation; Hamiltonian formulation; Hamilton-Jacobi formulation and Riesz fractional derivatives; DYNAMICS;

D O I：

10.1007/s10773-011-0668-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic oscillator (SHO) has been discussed. It was observed that the classical results are recovered for integer order derivatives.

引用

页码：1569 / 1576

页数：8

共 18 条

[1]

Agrawal O., 2004, Fractional Derivatives and Their Applications, Nonlinear Dynamics

[2] Fractional variational calculus in terms of Riesz fractional derivatives [J].