Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian
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DOI: 10.1007/s00707-019-02521-9
Abstract: We derive optimality conditions for variational problems of Herglotz type whose Lagrangian depends on fractional derivatives of both real and complex order, and resolve the case of subdomain when the lower bounds of variational integral… read more here.
Keywords: complex order; herglotz type; fractional derivatives; problems herglotz ... See more keywords
Noether’s theorem for a time-delayed Birkhoffian system of Herglotz type
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DOI: 10.1016/j.ijnonlinmec.2018.02.010
Abstract: Abstract This paper focuses on studying the Noether symmetries and the conserved quantities for a time-delayed Birkhoffian system of Herglotz type. The generalized Herglotz variational principle is extended to a time-delayed Birkhoffian system, and Birkhoff’s… read more here.
Keywords: system; time delayed; birkhoffian system; time ... See more keywords
Noether's symmetry and conserved quantity for a time-delayed Hamiltonian system of Herglotz type
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DOI: 10.1098/rsos.180208
Abstract: The variational problem of Herglotz type and Noether's theorem for a time-delayed Hamiltonian system are studied. Firstly, the variational problem of Herglotz type with time delay in phase space is proposed, and the Hamilton canonical… read more here.
Keywords: time delayed; time; delayed hamiltonian; herglotz type ... See more keywords