Noether-type theorem for fractional variational problems depending on fractional derivatives of functions

DOI10.1080/00036811.2019.1659958zbMath1464.49015arXiv1908.11414OpenAlexW3098555483MaRDI QIDQ4989434

Paulo M. Carvalho-Neto, Gastão S. F. Frederico, Matheus Jatkoske Lazo

Publication date: 25 May 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11414

zbMATH Keywords

fractional calculus of variationfractional Noether-type theoremnonlinear and chaotic systems

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear dynamics in mechanics (70K99) Variational principles of physics (49S05) Optimality conditions for problems involving relations other than differential equations (49K21)

Cites Work

• Noether symmetries and conserved quantities for fractional Birkhoffian systems
• Fractional variational symmetries of Lagrangians, the fractional Galilean transformation and the modified Schrödinger equation
• Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems
• Fractional conservation laws in optimal control theory
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• A formulation of Noether's theorem for fractional problems of the calculus of variations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Formulation of Euler-Lagrange equations for fractional variational problems
• Elementary chaotic flow
• Simplest dissipative chaotic flow.
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the \(\psi\)-Hilfer fractional derivative
• A review of definitions of fractional derivatives and other operators
• The action principle for dissipative systems
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
• Dissipative Dynamical Systems
• Advances in Fractional Calculus
• Conservation laws for invariant functionals containing compositions§
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Noether-type theorem for fractional variational problems depending on fractional derivatives of functions