Variational problems with partial fractional derivative: optimal conditions and Noether's theorem

DOI10.1155/2018/4197673zbMath1457.49006OpenAlexW2895561678MaRDI QIDQ1624134

Jun Jiang, Shougui Li, Yuqiang Feng

Publication date: 15 November 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/4197673

zbMATH Keywords

Noether's theoremCaputo fractional derivative

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Cites Work

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• Noether's theorem for fractional Birkhoffian systems of variable order
• Noether theorem and its inverse for nonlinear dynamical systems with nonstandard Lagrangians
• Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems
• Fractional variational problems depending on indefinite integrals
• Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
• Variational problems involving a Caputo-type fractional derivative
• Optimality conditions for fractional variational problems with free terminal time
• Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
• Invariant variation problems
• On fractional order derivatives and Darboux problem for implicit differential equations
• The Legendre condition of the fractional calculus of variations

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