Hamiltonian formulation of systems described using fractional singular Lagrangian
From MaRDI portal
Publication:2042536
DOI10.1007/s10440-021-00404-7zbMath1475.37060OpenAlexW3141001772MaRDI QIDQ2042536
Chuan-Jing Song, Om Prakash Agrawal
Publication date: 20 July 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-021-00404-7
Fractional derivatives and integrals (26A33) Constrained dynamics, Dirac's theory of constraints (70H45) Fractional ordinary differential equations (34A08) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems
- The Hamilton formalism with fractional derivatives
- Fractional Hamiltonian formalism within Caputo's derivative
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
- Formulation of Euler-Lagrange equations for fractional variational problems
- Lagrangean and Hamiltonian fractional sequential mechanics.
- Fractional variational calculus in terms of Riesz fractional derivatives
- Advances in Fractional Calculus
- Fractional variational calculus and the transversality conditions