Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives

Rabei, Eqab M.Rawashdeh, Ibrahim M.Muslih, Sami I.Baleanu, Dumitru2016-06-242016-06-242011Rabei, E.M...et al. (2011). Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives. International Journal of Theoretical Physics, 50(5), 1569-1576. http://dx.doi.org/10.1007/s10773-011-0668-30020-7748http://hdl.handle.net/20.500.12416/1144The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic oscillator (SHO) has been discussed. It was observed that the classical results are recovered for integer order derivativeseninfo:eu-repo/semantics/closedAccessFractional Calculus Of VariationsLagrangian FormulationHamiltonian FormulationHamilton-Jacobi Formulation and Riesz Fractional DerivativesHamilton-Jacobi formulation for systems in terms of Riesz's fractional derivativesHamilton-Jacobi Formulation for Systems in Terms of Riesz's Fractional DerivativesArticle5051569157610.1007/s10773-011-0668-3