Noether's theorem of fractional Birkhoffian systems
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Publication:1746295
DOI10.1016/j.jmaa.2017.07.056zbMath1387.26019OpenAlexW2741200719MaRDI QIDQ1746295
Publication date: 24 April 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.056
Fractional derivatives and integrals (26A33) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
Related Items (8)
Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ Fractional time-scales Noether theorem with Caputo \(\Delta\) derivatives for Hamiltonian systems ⋮ Local and global conserved quantities involving generalized operators ⋮ Conservation laws for systems of non-standard Birkhoffians with fractional derivatives ⋮ Non-standard Birkhoffian dynamics and its Noether's theorems ⋮ Adiabatic invariants for generalized fractional Birkhoffian mechanics and their applications ⋮ Time-scale version of generalized Birkhoffian mechanics and its symmetries and conserved quantities of Noether type ⋮ Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether's theorem
Cites Work
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- Noether symmetries and conserved quantities for fractional Birkhoffian systems
- Generalized variational problems and Birkhoff equations
- Fractional Noether's theorem in the Riesz-Caputo sense
- On the Birkhoffian mechanics
- Generalized variational problems and Euler-Lagrange equations
- A formulation of Noether's theorem for fractional problems of the calculus of variations
- The Noether's theory of Birkhoffian systems
- The calculus of variations
- Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
- A continuous/discrete fractional Noether's theorem
- On the Noether theorem for optimal control
- Fractional embedding of differential operators and Lagrangian systems
- Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
- Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
- Noether's theorem for optimum control systems
- Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
- Fractional actionlike variational problems
- Birkhoffian formulations of nonholonomic constrained systems
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