Fractional calculus of variations: a novel way to look at it

DOI10.1515/FCA-2019-0059zbMath1439.49045arXiv1809.02250OpenAlexW2982271919MaRDI QIDQ2175772

Rui A. C. Ferreira

Publication date: 30 April 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.02250

zbMATH Keywords

calculus of variationsEuler-Lagrange equationfractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (6)

Sign of the solutions of linear fractional differential equations and some applications ⋮ Calculus of variations with higher order Caputo fractional derivatives ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Fractional damping through restricted calculus of variations ⋮ Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications ⋮ Legendre's necessary condition for fractional Bolza functionals with mixed initial/final constraints

Cites Work

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• A fractional fundamental lemma and a fractional integration by parts formula-applications to critical points of Bolza functionals and to linear boundary value problems
• Fractional calculus of variations for a combined Caputo derivative
• A new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems
• Fractional embedding of differential operators and Lagrangian systems
• Variational problems with fractional derivatives: Euler–Lagrange equations

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