Afrika Matematika

, Volume 29, Issue 1–2, pp 33–46 | Cite as

A formulation of Noether’s theorem for fuzzy problems of the calculus of variations

  • O. S. FardEmail author
  • J. Soolaki
  • R. Almeida


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.


Fuzzy Noether’s theorem Fuzzy Euler–Lagrange conditions Fuzzy conservation law 

Mathematics Subject Classification

Primary 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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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland 2017

Authors and Affiliations

  1. 1.School of Mathematics and Computer ScienceDamghan UniversityDamghanIran
  2. 2.Department of MathematicsDamghan UniversityDamghanIran
  3. 3.Department of Mathematics, Center for Research and Development in Mathematics and Applications (CIDMA)University of AveiroAveiroPortugal

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