Variational problems with partial fractional derivative: optimal conditions and Noether's theorem
type: Item
instance of: scholarly article
title: Variational problems with partial fractional derivative: optimal conditions and Noether's theorem
zbMATH Open document ID: 1457.49006
DOI: 10.1155/2018/4197673
author: Jun Jiang
author: Yuqiang Feng
author: Shougui Li
published in: Journal of Function Spaces
publication date: 2018-11-15T00:00:00Z
review text: Overall, the authors look for properties of fractional calculus of variations such that the integrand of the integral functional is provided in terms of partial Caputo fractional derivatives. The authors furnish concrete examples. The article is endowed by several technical calculus.
reviewed by: Mohammed El Aïdi
Mathematics Subject Classification ID: 49J21
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6979874
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: Noether's theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4197673
OpenAlex ID: W2895561678
cites work: Optimality conditions for fractional variational problems with free terminal time
cites work: Variational problems involving a Caputo-type fractional derivative
cites work: Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
cites work: Fractional variational problems depending on indefinite integrals
cites work: Q5699297
cites work: Q3141902
cites work: Q3141895
cites work: On fractional order derivatives and Darboux problem for implicit differential equations
cites work: Invariant variation problems
cites work: Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems
cites work: Noether theorem and its inverse for nonlinear dynamical systems with nonstandard Lagrangians
cites work: Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
cites work: Noether's theorem for fractional Birkhoffian systems of variable order
cites work: The Legendre condition of the fractional calculus of variations
description: scientific article; zbMATH DE number 6979874