Mathematical Institute of the Serbian Academy of Sciences and Arts
|Title:||NOETHER'S THEOREM FOR HERGLOTZ TYPE VARIATIONAL PROBLEMS UTILIZING COMPLEX FRACTIONAL DERIVATIVES||Journal:||Theoretical and Applied Mechanics||Volume:||48||Issue:||2||First page:||127||Last page:||142||Issue Date:||1-Jan-2021||Rank:||M24||ISSN:||1450-5584||DOI:||10.2298/TAM210913011J||Abstract:||
This is a review article which elaborates the results presented in , where the variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated and the invariance of this principle under the action of a local group of symmetries is determined. The conservation law for the corresponding fractional Euler Lagrange equation is obtained and a sequence of approximations of a fractional Euler-Lagrange equation by systems of integer order equations established and analyzed.
|Keywords:||fractional derivatives | Herglotz variational principle | Noether's theorem||Publisher:||Serbian Society of Mechanics|
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