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Hamilton-Jacobi and fractional like action with time scaling
Journal article   Peer reviewed

Hamilton-Jacobi and fractional like action with time scaling

Mohamed A. E. Herzallah, Sami I. Muslih, Dumitru Baleanu and Eqab M. Rabei
Nonlinear dynamics, Vol.66(4), pp.549-555
01/12/2011
DOI: https://doi.org/10.1007/s11071-010-9933-x

Abstract

Engineering Engineering, Mechanical Mechanics Science & Technology Technology
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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