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Fractional Noether’s theorem in the Riesz–Caputo sense

JOURNAL ARTICLE published October 2010 in Applied Mathematics and Computation

Authors: Gastão S.F. Frederico | Delfim F.M. Torres

https://doi.org/10.1016/j.amc.2010.01.100 Actions

NOETHER'S THEOREM FOR FRACTIONAL OPTIMAL CONTROL PROBLEMS

JOURNAL ARTICLE published January 2006 in IFAC Proceedings Volumes

Authors: Gastão S.F. Frederico | Delfim F.M. Torres

https://doi.org/10.3182/20060719-3-pt-4902.00013 Actions

A counterexample to a Frederico–Torres fractional Noether-type theorem

JOURNAL ARTICLE published September 2015 in Journal of Mathematical Analysis and Applications

Research funded by Fundação para a Ciência e a Tecnologia (IF/01345/2014) | Bialystok University of Technology (S/WI/02/2011)

Authors: Rui A.C. Ferreira | Agnieszka B. Malinowska

https://doi.org/10.1016/j.jmaa.2015.03.060 Actions

Fractional conservation laws in optimal control theory

JOURNAL ARTICLE published August 2008 in Nonlinear Dynamics

Authors: Gastão S. F. Frederico | Delfim F. M. Torres

https://doi.org/10.1007/s11071-007-9309-z Actions

Fractional Isoperimetric Noether's Theorem in the Riemann–Liouville Sense

JOURNAL ARTICLE published June 2013 in Reports on Mathematical Physics

Authors: Gastão S.F. Frederico | Delfim F.M. Torres

https://doi.org/10.1016/s0034-4877(13)60034-8 Actions

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

JOURNAL ARTICLE published 11 June 2021 in Applicable Analysis

Authors: M. J. Lazo | G. S. F. Frederico | P. M. Carvalho-Neto

https://doi.org/10.1080/00036811.2019.1659958 Actions

Fractional Noether's theorem with classical and Riemann-Liouville derivatives

PROCEEDINGS ARTICLE published December 2012 in 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

Authors: Gastao S. F. Frederico | Delfim F. M. Torres

https://doi.org/10.1109/cdc.2012.6426162 Actions

On the Noether theorem for optimal control

PROCEEDINGS ARTICLE published September 2001 in 2001 European Control Conference (ECC)

Authors: D. F. M. Torres

https://doi.org/10.23919/ecc.2001.7075913 Actions

Caputo $$Delta $$-type fractional time-scales Noether theorem of Birkhoffian systems

JOURNAL ARTICLE published November 2022 in Acta Mechanica

Research funded by National Natural Science Foundation of China (11972241,11572212) | Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX20_0251) | Natural Science Foundation of Jiangsu Province (BK20191454)

Authors: Xue Tian | Yi Zhang

https://doi.org/10.1007/s00707-022-03338-9 Actions

Fractional Noether Theorem Based on Extended Exponentially Fractional Integral

JOURNAL ARTICLE published March 2014 in International Journal of Theoretical Physics

Authors: Zi-Xuan Long | Yi Zhang

https://doi.org/10.1007/s10773-013-1873-z Actions

An Optimal Control Problem for Dengue Fever Model Using Caputo Fractional Derivatives

JOURNAL ARTICLE published 1 January 2024 in Progress in Fractional Differentiation and Applications

https://doi.org/10.18576/pfda/100101 Actions

Fractional Euler–Lagrange Differential Equations via Caputo Derivatives

BOOK CHAPTER published 2012 in Fractional Dynamics and Control

Authors: Ricardo Almeida | Agnieszka B. Malinowska | Delfim F. M. Torres

https://doi.org/10.1007/978-1-4614-0457-6_9 Actions

Regional gradient observability for fractional differential equations with Caputo time-fractional derivatives

JOURNAL ARTICLE published October 2023 in International Journal of Dynamics and Control

Research funded by Fundação para a Ciência e a Tecnologia (UIDB/04106/2020)

Authors: Khalid Zguaid | Fatima-Zahrae El Alaoui | Delfim F. M. Torres

https://doi.org/10.1007/s40435-022-01106-0 Actions

On the Noether Theorem for Optimal Control

JOURNAL ARTICLE published January 2002 in European Journal of Control

Authors: D.F.M. Torres

https://doi.org/10.3166/ejc.8.56-63 Actions

A numerical study on fractional optimal control problems described by Caputo‐Fabrizio fractional integro‐differential equation

JOURNAL ARTICLE published July 2023 in Optimal Control Applications and Methods

Authors: Haniye Dehestani | Yadollah Ordokhani

https://doi.org/10.1002/oca.2957 Actions

Caputo fractional derivative operational matrices of Legendre and Chebyshev wavelets in fractional delay optimal control

JOURNAL ARTICLE published 2022 in Numerical Algebra, Control & Optimization

Authors: Iman Malmir

https://doi.org/10.3934/naco.2021013 Actions

Fractional linear control systems with Caputo derivative and their optimization

JOURNAL ARTICLE published November 2015 in Optimal Control Applications and Methods

Research funded by National Science Center (Poland) (2011/01/B/ST7/03426)

Authors: Rafał Kamocki | Marek Majewski

https://doi.org/10.1002/oca.2150 Actions

Fractional Noether’s theorem with classical and Caputo derivatives: constants of motion for non-conservative systems

JOURNAL ARTICLE published July 2016 in Nonlinear Dynamics

Authors: G. S. F. Frederico | M. J. Lazo

https://doi.org/10.1007/s11071-016-2727-z Actions

The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

JOURNAL ARTICLE published January 2013 in Journal of Optimization Theory and Applications

Authors: Tian Liang Guo

https://doi.org/10.1007/s10957-012-0233-0 Actions

Fractional time-scales Noether theorem with CaputoΔderivatives for Hamiltonian systems

JOURNAL ARTICLE published March 2021 in Applied Mathematics and Computation

Research funded by National Natural Science Foundation of China (11972241)

Authors: Xue Tian | Yi Zhang

https://doi.org/10.1016/j.amc.2020.125753 Actions
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