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

DOI10.1007/S13370-017-0524-6zbMath1413.49049arXiv1708.06617OpenAlexW2963708964MaRDI QIDQ1703418

Omid Solaymani Fard, Ricardo Almeida, Javad Soolaki

Publication date: 2 March 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06617

zbMATH Keywords

fuzzy Euler-Lagrange conditionsfuzzy conservation lawfuzzy Noether's theorem

Mathematics Subject Classification ID

Optimality conditions for problems involving randomness (49K45) Miscellaneous topics in calculus of variations and optimal control (49N99)

Cites Work

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• Necessary optimality conditions for fuzzy variational problems
• Elementary fuzzy calculus
• Fuzzy fractional functional differential equations under Caputo gH-differentiability
• A class of linear differential dynamical systems with fuzzy matrices
• A formulation of Noether's theorem for fractional problems of the calculus of variations
• Introduction to fuzzy partial differential equations
• The calculus of variations
• Quasi-invariant optimal control problems
• Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations

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