期刊
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
卷 50, 期 5, 页码 1569-1576出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-011-0668-3
关键词
Fractional calculus of variation; Lagrangian formulation; Hamiltonian formulation; Hamilton-Jacobi formulation and Riesz fractional derivatives
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.
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