Fractional Nambu mechanics
From MaRDI portal
Publication:2390814
DOI10.1007/s10773-008-9877-9zbMath1170.70009OpenAlexW2058005475MaRDI QIDQ2390814
Alireza Khalili Golmankhaneh, Ali Khalili Golmankhaneh, Dumitru Baleanu
Publication date: 10 August 2009
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-008-9877-9
Fractional derivatives and integrals (26A33) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian and Lagrangian mechanics (70H99)
Related Items
Fractional electromagnetic equations using fractional forms, Existence and numerical simulation of solutions for fractional equations involving two fractional orders with nonlocal boundary conditions, Existence results for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions, Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions, On nonlinear fractional Klein-Gordon equation, Fractional odd-dimensional mechanics, A study of nonlinear Langevin equation involving two fractional orders in different intervals, Perturbation for fractional-order evolution equation, Fractional-order control of a micrometric linear axis, The fractional Boltzmann transport equation, The Fractional Virial Theorem, Nonlinear second-order impulsive \(q\)-difference Langevin equation with boundary conditions, Hamiltonian structure of fractional first order Lagrangian, Newtonian law with memory, The dual action of fractional multi time Hamilton equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Hamilton formalism with fractional derivatives
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On foundation of the generalized Nambu mechanics
- Fractional quantum mechanics and Lévy path integrals
- Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
- Chaos, fractional kinetics, and anomalous transport
- Formulation of Euler-Lagrange equations for fractional variational problems
- Fractional sequential mechanics - models with symmetric fractional derivative.
- Lagrangean and Hamiltonian fractional sequential mechanics.
- Continuous medium model for fractal media
- Fractional statistical mechanics
- On generalized Nambu mechanics
- On a geometrical formulation of the Nambu dynamics
- Generalized Hamiltonian Dynamics
- Time fractional Schrödinger equation
- Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
- Fractional variations for dynamical systems: Hamilton and Lagrange approaches
- Fractional variational calculus and the transversality conditions
- Nambu mechanics in the Lagrangian formalism
