Fractional variational principle of Herglotz
From MaRDI portal
Publication:478717
DOI10.3934/dcdsb.2014.19.2367zbMath1304.49040arXiv1406.0717OpenAlexW2964275635MaRDI QIDQ478717
Ricardo Almeida, Agnieszka B. Malinowska
Publication date: 4 December 2014
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.0717
Fractional derivatives and integrals (26A33) Variational principles of physics (49S05) Optimality conditions for free problems in one independent variable (49K05)
Related Items (22)
Noether's theorem for fractional Birkhoffian system of Herglotz type with time delay ⋮ Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem ⋮ Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle ⋮ Fractional Herglotz variational principles with generalized Caputo derivatives ⋮ Noether currents for higher-order variational problems of Herglotz type with time delay ⋮ Fractional Herglotz variational problems of variable order ⋮ A new type of adiabatic invariants for disturbed Birkhoffian system of Herglotz type ⋮ Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives ⋮ Sign of the solutions of linear fractional differential equations and some applications ⋮ Fractional Herglotz variational problems with Atangana-Baleanu fractional derivatives ⋮ Herglotz-type principle and first integrals for nonholonomic systems in phase space ⋮ Noether's theorem for fractional Herglotz variational principle in phase space ⋮ Fractional variational principle of Herglotz for a new class of problems with dependence on the boundaries and a real parameter ⋮ Noether's theorem for variational problems of Herglotz type with real and complex order fractional derivatives ⋮ Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem ⋮ Noether symmetry and conserved quantity for Hamiltonian system of Herglotz type on time scales ⋮ Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian ⋮ Noether Symmetry and Conserved Quantities of Fractional Birkhoffian System in Terms of Herglotz Variational Problem ⋮ Variational and optimal control approaches for the second-order Herglotz problem on spheres ⋮ A reliable numerical approach for analyzing fractional variational problems with subsidiary conditions ⋮ Optimality conditions involving the Mittag-Leffler tempered fractional derivative ⋮ A non-standard class of variational problems of Herglotz type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distributed order equations as boundary value problems
- Approximation of fractional integrals by means of derivatives
- Higher-order variational problems of Herglotz type
- A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
- A formulation of Noether's theorem for fractional problems of the calculus of variations
- Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- First Noether-type theorem for the generalized variational principle of Herglotz
- On a numerical scheme for solving differential equations of fractional order
- Second Noether-type theorem for the generalized variational principle of Herglotz
- Fractional boundary value problems: Analysis and numerical methods
- Generalized variational principle of Herglotz for several independent variables. First Noether-type theorem
- Variational problems with fractional derivatives: Euler–Lagrange equations
This page was built for publication: Fractional variational principle of Herglotz
