Hamilton-Jacobi and Fractional Like Action With Time Scaling

Muslih, Sami I.Baleanu, DumitruRabei, Eqab M.Herzallah, Mohamed A. E.2017-02-172025-09-182017-02-172025-09-182011Herzallah, M.A.E...et al. (2011). Hamilton-Jacobi and fractional like action with time scaling. Nonlinear Dynamics, 66(4), 549-555. http://dx.doi.org/10.1007/s11071-010-9933-x0924-090X1573-269Xhttps://doi.org/10.1007/s11071-010-9933-xhttps://hdl.handle.net/20.500.12416/13754Herzallah, Mohamed/0000-0003-3514-3709This 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.eninfo:eu-repo/semantics/closedAccessFractional CalculusFractional DerivativesFractional Variational PrincipleFractional Hamilton-Jacobi FormulationHamilton-Jacobi and Fractional Like Action With Time ScalingHamilton-Jacobi and fractional like action with time scalingArticle10.1007/s11071-010-9933-x2-s2.0-82255164101