Journal
CENTRAL EUROPEAN JOURNAL OF PHYSICS
Volume 11, Issue 6, Pages 691-701Publisher
DE GRUYTER POLAND SP Z O O
DOI: 10.2478/s11534-013-0208-2
Keywords
variable order fractional integrals; variable order fractional derivatives; fractional variational analysis; Euler-Lagrange equations; Noether's theorem
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Funding
- FEDER funds through COMPETE Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade)
- Portuguese funds through the Center for Research and Development in Mathematics and Applications (University of Aveiro)
- Portuguese Foundation for Science and Technology (FCT - Fundacao para a Ciencia e a Tecnologia) [PEst-C/MAT/UI4106/2011]
- COMPETE [FCOMP-01-0124-FEDER-022690]
- FCT [SFRH/BD/33865/2009, PTDC/MAT/113470/2009]
- Malinowska through the project Information Platform TEWI
- European Union under the European Regional Development Fund
- European Union [64735-SADCO]
- Fundação para a Ciência e a Tecnologia [SFRH/BD/33865/2009] Funding Source: FCT
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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.
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