On fractional variational problems which admit local transformations
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Publication:2835554
DOI10.1177/1077546312442697zbMath1349.49012arXiv1203.2102OpenAlexW2155565304MaRDI QIDQ2835554
Publication date: 29 November 2016
Published in: Journal of Vibration and Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.2102
Variational inequalities (49J40) Fractional derivatives and integrals (26A33) Variational principles of physics (49S05) Variational methods applied to problems in optics and electromagnetic theory (78M30)
Related Items (3)
Noether currents for higher-order variational problems of Herglotz type with time delay ⋮ The second Noether theorem on time scales ⋮ Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
Cites Work
- Fractional Noether's theorem in the Riesz-Caputo sense
- Gauge invariance in fractional field theories
- Fractional variational problems depending on indefinite integrals
- Generalized variational calculus in terms of multi-parameters fractional derivatives
- Recent history of fractional calculus
- Which symmetry? Noether, Weyl, and conservation of electric charge
- Fractional conservation laws in optimal control theory
- Calculus of variations with fractional derivatives and fractional integrals
- Fractional electromagnetic equations using fractional forms
- Fractional Hamiltonian formalism within Caputo's derivative
- Fractional Hamilton-Jacobi equation for the optimal control of nonrandom fractional dynamics with fractional cost function
- Fractional vector calculus and fractional Maxwell's equations
- The Noether theorems. Invariance and conservation laws in the twentieth century. Transl. from the French by Bertram E. Schwarzbach
- Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
- 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
- Fractional calculus of variations for a combined Caputo derivative
- Fractional embedding of differential operators and Lagrangian systems
- Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
- 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)
- Variational problems with fractional derivatives: Euler–Lagrange equations
- Fractional variations for dynamical systems: Hamilton and Lagrange approaches
- On Fractional Integration by Parts
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