Hamilton-Jacobi and fractional like action with time scaling

Faculty Science Year: 2011
Type of Publication: Article Pages: 549-555
Authors:
Herzallah, Mohamed A. E, Baleanu, Dumitru, Muslih, Sami I, Rabei, Eqab M
DOI: 10.1007/s11071-010-9933-x
Journal: NONLINEAR DYNAMICS SPRINGER Volume: 66
Research Area: Engineering; Mechanics ISSN ISI:000297171700009
Keywords : Fractional calculus, Fractional derivatives, Fractional variational principle, Fractional Hamilton-Jacobi formulation    
Abstract:
This paper represents the Hamilton-Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time scaling parameter. Also we developed the fractional Hamiltonian formulation for the fractional like action. In all the given calculations, the most popular Riemann-Liouville (RL) and Caputo fractional derivatives are employed. An example illustrates our approach.
    
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