Fractional derivative generalization of Noether’s theorem
Copyright policy )Fractional derivative generalization of Noether’s theorem
Abstract The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples are presented as an application of the theory.
- University of South Africa South Africa
- Islamic Azad University, Karaj Iran (Islamic Republic of)
- Islamic Azad University, Tehran Iran (Islamic Republic of)
- Iran University of Science and Technology Iran (Islamic Republic of)
- University of Mazandaran Iran (Islamic Republic of)
Symmetries, Lie group and Lie algebra methods for problems in mechanics, fractional derivatives, fractional variational calculus, Optimality conditions for free problems in one independent variable, fractional euler–lagrange equations, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics, Fractional partial differential equations, Noether's theorem, fractional Euler-Lagrange equations, noether’s theorem, Fractional derivatives and integrals, QA1-939, conservation laws, Mathematics, symmetry
Symmetries, Lie group and Lie algebra methods for problems in mechanics, fractional derivatives, fractional variational calculus, Optimality conditions for free problems in one independent variable, fractional euler–lagrange equations, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics, Fractional partial differential equations, Noether's theorem, fractional Euler-Lagrange equations, noether’s theorem, Fractional derivatives and integrals, QA1-939, conservation laws, Mathematics, symmetry
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