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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Herzallah, M.A.E., Muslih, S.I., Baleanu, D. et al. Hamilton–Jacobi and fractional like action with time scaling. Nonlinear Dyn 66, 549–555 (2011). https://doi.org/10.1007/s11071-010-9933-x
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DOI: https://doi.org/10.1007/s11071-010-9933-x