The isoperimetric problem for Holderian curves
arXiv:0807.3076 · doi:10.1016/j.jmaa.2009.06.029
Abstract
We prove a necessary stationary condition for non-differentiable isoperimetric variational problems with scale derivatives, defined on the class of Hölder continuous functions.
11 pages
References in corpus (6)
- A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
- Fractional embedding of differential operators and Lagrangian systems
- Isoperimetric problems on time scales with nabla derivatives
- Non-differentiable variational principles
- Scale calculus and the Schrodinger equation
- Necessary and sufficient conditions for local Pareto optimality on time scales
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- Fractional Euler-Lagrange differential equations via Caputo derivatives
- The power quantum calculus and variational problems
- Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
- Higher-order infinite horizon variational problems in discrete quantum calculus
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- Fractional Calculus on Time Scales
- Generalized Euler-Lagrange equations for variational problems with scale derivatives
- A Non-Differentiable Quantum Variational Embedding in Presence of Time Delays
- Delta-Nabla Isoperimetric Problems
- Nondifferentiable variational principles in terms of a quantum operator
- Calculus of Variations with Classical and Fractional Derivatives
- Noether's Theorem with Momentum and Energy Terms for Cresson's Quantum Variational Problems
- Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus