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

Rabei, Eqab M.Baleanu, DumitruRawashdeh, Ibrahim M.Muslih, SamiBaleanu, DumitruMatematik2016-06-242016-06-242011Rabei, 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/s10773-011-0668-30020-7748https://doi.org/10.1007/s10773-011-0668-3The 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 derivatives.eninfo:eu-repo/semantics/closedAccessFractional Calculus Of VariationLagrangian 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/s10773-011-0668-32-s2.0-79953081892WOS:000288804600024Q3Q2