In this paper, we research Noether's theorems of fractional generalized Birkhoffian systems
in terms of classical and combined Caputo derivatives. First, the generalized Pfaff–Birkhoff …

Noether symmetry theorem of Herglotz type for time-delayed fractional Birkhoffian system
are studied. Firstly, based on the fractional derivative of Riemann-Liouville, the Herglotz …

Noether theorem is an important aspect to study in dynamical systems. Noether symmetry
and conserved quantity for the fractional Birkhoffian system are investigated. Firstly …

We introduce a new method to study Lie symmetries and conserved quantities of constraint
mechanical systems which include Lagrangian systems, nonconservative systems and …

In this paper we propose a numerical solution of a fractional oscillator equation with natural
boundary conditions. A numerical scheme is presented to solve these equations. In the final …

We address the generalized variational problem of Herglotz from an optimal control point of
view. Using the theory of optimal control, we derive a generalized Euler–Lagrange equation …

A counterexample to a Frederico–Torres fractional Noether-type theorem - ScienceDirect Skip to
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The application of fractional calculus in the rheological problems has been widely accepted.
In this study, the constitutive relationship of the generalized Kelvin model based on fractional …

We study, using an optimal control point of view, higher-order variational problems of
Herglotz type with time delay. Main results are higher-order Euler-Lagrange and DuBois …

We approach higher-order variational problems of Herglotz type from an optimal control
point of view. Using optimal control theory, we derive a generalized Euler-Lagrange …