Geodesic
Noether's theorem for Herglotz type variational problems utilizing complex fractional derivatives
Theoretical and applied mechanics, Tome 48 (2021) no. 2, p. 127

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This is a review article which elaborates the results presented in \cite{Noether_MJ_TMA_SP}, 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.
DOI : 10.2298/TAM210913011J
Classification : 49S05, 41A30
Keywords: Herglotz variational principle, Noether's theorem, fractional derivatives 
Marko Janev; Teodor M. Atanacković; Stevan Pilipović. Noether's theorem for Herglotz type variational problems utilizing complex fractional derivatives. Theoretical and applied mechanics, Tome 48 (2021) no. 2, p. 127 . doi: 10.2298/TAM210913011J
@article{10_2298_TAM210913011J,
     author = {Marko Janev and Teodor M. Atanackovi\'c and Stevan Pilipovi\'c},
     title = {Noether's theorem for {Herglotz} type variational problems utilizing complex fractional derivatives},
     journal = {Theoretical and applied mechanics},
     pages = {127 },
     year = {2021},
     volume = {48},
     number = {2},
     doi = {10.2298/TAM210913011J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM210913011J/}
}
TY  - JOUR
AU  - Marko Janev
AU  - Teodor M. Atanacković
AU  - Stevan Pilipović
TI  - Noether's theorem for Herglotz type variational problems utilizing complex fractional derivatives
JO  - Theoretical and applied mechanics
PY  - 2021
SP  - 127 
VL  - 48
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.2298/TAM210913011J/
DO  - 10.2298/TAM210913011J
LA  - en
ID  - 10_2298_TAM210913011J
ER  - 
%0 Journal Article
%A Marko Janev
%A Teodor M. Atanacković
%A Stevan Pilipović
%T Noether's theorem for Herglotz type variational problems utilizing complex fractional derivatives
%J Theoretical and applied mechanics
%D 2021
%P 127 
%V 48
%N 2
%U http://geodesic.mathdoc.fr/articles/10.2298/TAM210913011J/
%R 10.2298/TAM210913011J
%G en
%F 10_2298_TAM210913011J

Cité par Sources :