Noether’s theorem for fractional variational problems of variable order

• Authors: Tatiana Odzijewicz , Agnieszka Malinowska , Delfim Torres
• Languages of publication: EN

Abstracts

EN

We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable order. This allows us to state a version of Noether’s theorem without transformation of the independent (time) variable. Considered derivatives of variable order are defined in the sense of Caputo.

Keywords

EN

variable order fractional integrals; variable order fractional derivatives; fractional variational analysis; Euler-Lagrange equations; Noether’s theorem

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 6
• Pages: 691-701

Dates

published

1 - 6 - 2013

online

9 - 10 - 2013

Contributors

author

Tatiana Odzijewicz

• Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

author

Agnieszka Malinowska

• Faculty of Computer Science, Bialystok University of Technology, 15-351, Białystok, Poland

author

Delfim Torres

• Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

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Identifiers

DOI

10.2478/s11534-013-0208-2