Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives
type: Item
instance of: scholarly article
title: Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives
zbMATH Open document ID: 1378.49015
author: Teodor Atanacković
author: Marko Janev
author: Stevan Pilipović
author: Dusan Zorica
published in: Journal of Optimization Theory and Applications
publication date: 2017-10-27T00:00:00Z
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 70G75
Mathematics Subject Classification ID: 70H03
zbMATH DE Number: 6800852
zbMATH Keywords: complex-order fractional variational problems
zbMATH Keywords: Euler-Lagrange equations
zbMATH Keywords: expansion formula
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
full work available at URL: s10957-016-0873-6
OpenAlex ID: W2302152606
cites work: Expansion formula for fractional derivatives in variational problems
cites work: Q3421743
cites work: On a numerical scheme for solving differential equations of fractional order
cites work: Q5693271
cites work: Formulation of Euler-Lagrange equations for fractional variational problems
cites work: A general formulation and solution scheme for fractional optimal control problems
cites work: Fractional optimal control of a 2-dimensional distributed system using eigenfunctions
cites work: Variational problems with fractional derivatives: Euler–Lagrange equations
cites work: Direct methods in the calculus of variations
cites work: Q3878029
cites work: Complementary variational principles with fractional derivatives
cites work: Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
cites work: A formulation of Noether's theorem for fractional problems of the calculus of variations
cites work: Fractional Noether's theorem in the Riesz-Caputo sense
cites work: Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space
cites work: Epsilon-Ritz method for solving a class of fractional constrained optimization problems
cites work: Computational Methods in the Fractional Calculus of Variations
cites work: Fractional Calculus With Applications in Mechanics
cites work: Advanced methods in the fractional calculus of variations
cites work: Q4649595
cites work: -symmetric extension of the Korteweg-de Vries equation
cites work: Complexified dynamical systems
cites work: Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type
cites work: Q5699297
cites work: Q3141895
cites work: Lagrange Multiplier Approach to Variational Problems and Applications
cites work: Fractional Sturm-Liouville problem
DOI: 10.1007/S10957-016-0873-6
description: scientific article; zbMATH DE number 6800852