A formulation of Noether’s theorem for fuzzy problems of the calculus of variations
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The theory of the calculus of variations for fuzzy systems was recently initiated in Farhadinia (Inf Sci 181:1348–1357, 2011), with the proof of the fuzzy Euler–Lagrange equation. Using fuzzy Euler–Lagrange equation, we obtain here a Noether–like theorem for fuzzy variational problems.
KeywordsFuzzy Noether’s theorem Fuzzy Euler–Lagrange conditions Fuzzy conservation law
Mathematics Subject ClassificationPrimary 93C42 Secondary 34N05 93D05
R. Almeida was supported by Portuguese funds through the CIDMA-Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), within project UID/MAT/04106/2013.
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