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.
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