Fractional Herglotz variational principles with generalized Caputo derivatives

DOI10.1016/j.chaos.2017.04.035zbMath1374.49039arXiv1704.05697OpenAlexW2608872844WikidataQ57650467 ScholiaQ57650467MaRDI QIDQ1677753

Giorgio S. Taverna, Roberto Garra, Delfim F. M. Torres

Publication date: 13 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05697

zbMATH Keywords

Euler-Lagrange equationsgeneralized fractional operatorsfractional variational principlesHerglotz problem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Oscillation theory of functional-differential equations (34K11) Variational principles of physics (49S05) Optimality conditions for free problems in one independent variable (49K05) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (17)

Noether's theorem for fractional Birkhoffian system of Herglotz type with time delay ⋮ Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem ⋮ Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle ⋮ On the Herglotz variational problem ⋮ Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives ⋮ Fractional Herglotz variational problems with Atangana-Baleanu fractional derivatives ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ The non-holonomic Herglotz variational problem ⋮ \(M\)-fractional derivative under interval uncertainty: theory, properties and applications ⋮ Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives ⋮ Noether's theorem for fractional Herglotz variational principle in phase space ⋮ Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem ⋮ Noether's theorem for variational problems of Herglotz type with real and complex order fractional derivatives ⋮ Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative ⋮ On Hamilton's principle for discrete and continuous systems: a convolved action principle ⋮ Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian ⋮ Noether Symmetry and Conserved Quantities of Fractional Birkhoffian System in Terms of Herglotz Variational Problem

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