Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives
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Date
2011
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Springer/Plenum Publishers
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Abstract
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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Keywords
Fractional Calculus Of Variations, Lagrangian Formulation, Hamiltonian Formulation, Hamilton-Jacobi Formulation and Riesz Fractional Derivatives
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Citation
Rabei, E.M...et al. (2011). Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives. International Journal of Theoretical Physics, 50(5), 1569-1576. http://dx.doi.org/10.1007/s10773-011-0668-3
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Source
International Journal of Theoretical Physics
Volume
50
Issue
5
Start Page
1569
End Page
1576