A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
From MaRDI portal
Publication:712642
DOI10.1016/j.aml.2012.03.006zbMath1259.49005arXiv1203.2107OpenAlexW2092812168MaRDI QIDQ712642
Publication date: 17 October 2012
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.2107
fractional calculuscalculus of variationconservative and nonconservative systemsfractional Euler--Lagrange equationfractional Noether-type theorem
Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05)
Related Items (33)
Existence of optimal solutions to Lagrange problem for a fractional nonlinear control system with Riemann-Liouville derivative ⋮ On the existence of optimal solutions to fractional optimal control problems ⋮ Conserved quantities and adiabatic invariants for El-Nabulsi's fractional Birkhoff system ⋮ Lie symmetry analysis, conservation laws and exact solutions of the time-fractional generalized Hirota-Satsuma coupled KdV system ⋮ Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle ⋮ Local and global conserved quantities involving generalized operators ⋮ Lie point symmetries, conservation laws, and analytical solutions of a generalized time-fractional Sawada–Kotera equation ⋮ Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives ⋮ Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions ⋮ Calculus of variations and optimal control with generalized derivative ⋮ Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Constructing conservation laws for fractional-order integro-differential equations ⋮ Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space ⋮ Approximate conservation laws for fractional differential equations ⋮ On explicit exact solutions and conservation laws for time fractional variable -- coefficient coupled Burger's equations ⋮ Invariance properties, conservation laws, and soliton solutions of the time-fractional \((2+1)\)-dimensional new coupled ZK system in magnetized dusty plasmas ⋮ Conservation laws of space-time fractional mZK equation for Rossby solitary waves with complete Coriolis force ⋮ Formulation and solution to time-fractional generalized Korteweg-de Vries equation via variational methods ⋮ New fractional nonlinear integrable Hamiltonian systems ⋮ Fractional variational principle of Herglotz ⋮ Generalized fractional isoperimetric problem of several variables ⋮ LIE SYMMETRY ANALYSIS, CONSERVATION LAWS AND EXACT SOLUTIONS OF FOURTH-ORDER TIME FRACTIONAL BURGERS EQUATION ⋮ Time fractional Schrödinger equation revisited ⋮ Lie symmetry analysis, conservation laws and similarity reductions of Newell-Whitehead-Segel equation of fractional order ⋮ Time fractional (2+1)-dimensional Wu-Zhang system: dispersion analysis, similarity reductions, conservation laws, and exact solutions ⋮ Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation ⋮ Noether symmetry and conserved quantity for fractional Birkhoffian mechanics and its applications ⋮ Conservation laws for time-fractional subdiffusion and diffusion-wave equations ⋮ The second Noether theorem on time scales ⋮ Variational problems for Hölderian functions with free terminal point ⋮ Variable Order Fractional Isoperimetric Problem of Several Variables ⋮ Perturbation to Noether symmetries and adiabatic invariants for disturbed Hamiltonian systems based on El-Nabulsi nonconservative dynamics model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiobjective fractional variational calculus in terms of a combined Caputo derivative
- Fractional variational problems from extended exponentially fractional integral
- A periodic functional approach to the calculus of variations and the problem of time-dependent damped harmonic oscillators
- Fractional Noether's theorem in the Riesz-Caputo sense
- Fractional variational calculus with classical and combined Caputo derivatives
- Fractional variational problems with the Riesz-Caputo derivative
- Inverse problem of fractional calculus of variations for partial differential equations
- Recent history of fractional calculus
- A formulation of Noether's theorem for fractional problems of the calculus of variations
- Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
- Lagrangean and Hamiltonian fractional sequential mechanics.
- Fractional diffusion and wave equations
- Gaussian curvature from flat elastica sheets
- 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
- Linear non-conservative systems with fractional damping and the derivatives of critical load parameter
- A fractional calculus of variations for multiple integrals with application to vibrating string
- Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
- Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
- Fractional actionlike variational problems
- FRACTIONAL FIELD THEORIES FROM MULTI-DIMENSIONAL FRACTIONAL VARIATIONAL PROBLEMS
- On Fractional Integration by Parts
This page was built for publication: A formulation of the fractional Noether-type theorem for multidimensional Lagrangians
