Generalized Euler-Lagrange equations for variational problems with scale derivatives

DOI10.1007/s11005-010-0385-5zbMath1195.49028arXiv1003.3133OpenAlexW3098557803WikidataQ57651115 ScholiaQ57651115MaRDI QIDQ5962056

Delfim F. M. Torres, Ricardo Almeida

Publication date: 16 September 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3133

zbMATH Keywords

Euler-Lagrange equationshigher-order scale derivativesnon-differentiabilityscale calculus

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Continuity and differentiation questions (26B05) Optimality conditions for free problems in one independent variable (49K05)

Related Items (4)

Higher-order Hahn's quantum variational calculus ⋮ Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus ⋮ Unnamed Item ⋮ A non-differentiable Noether's theorem

Cites Work

• Non-differentiable variational principles
• Hölderian variational problems subject to integral constraints
• Constants of motion for non-differentiable quantum variational problems
• The scale-relativity program
• NON-DIFFERENTIABLE DEFORMATIONS OF ℝⁿ
• THE THEORY OF SCALE RELATIVITY
• Scale calculus and the Schrödinger equation

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