Baleanu, DumitruRabei, Eqab M.Almayteh, IbtesamMuslih, Sami I.Baleanu, Dumitru2016-04-272016-04-272008Rabei, E.M...et al. (2008). Hamilton-Jacobi formulation of systems within Caputo's fractional derivative. Physica Scripta, 77(1), http://dx.doi.org/10.1088/0031-8949/77/01/0151010031-8949https://hdl.handle.net/20.500.12416/920A 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 detaileninfo:eu-repo/semantics/closedAccessEuler-Lagrange EquationsDifferential-EquationsSequential MechanicsQuantum-MechanicsNumerical SchemeClassical FieldsOscillatorDynamicsOrderDiffusionHamilton-Jacobi formulation of systems within Caputo's fractional derivativeHamilton-Jacobi Formulation of Systems Within Caputo's Fractional DerivativeArticle77110.1088/0031-8949/77/01/015101