Hamilton-Jacobi formulation of systems within Caputo's fractional derivative
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Date
2008
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IOP Publishing Ltd
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Abstract
A new fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives was developed. The fractional action function is obtained and the solutions of the equations of motion are recovered. Two examples are studied in detail
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Keywords
Euler-Lagrange Equations, Differential-Equations, Sequential Mechanics, Quantum-Mechanics, Numerical Scheme, Classical Fields, Oscillator, Dynamics, Order, Diffusion
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Citation
Rabei, E.M...et al. (2008). Hamilton-Jacobi formulation of systems within Caputo's fractional derivative. Physica Scripta, 77(1), http://dx.doi.org/10.1088/0031-8949/77/01/015101
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Source
Physica Scripta
Volume
77
Issue
1