Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
By Gastão S. F. Frederico, Delfim F. M. Torres. 2007
211 citations recorded by the source corpus.
The study of fractional variational problems with derivatives in the sense of Caputo is a recent subject, the main results being Agrawal’s necessary optimality conditions of Euler-Lagrange and respective transversality conditions. Using Agrawal’s Euler-Lagrange equation and the Lagrange multiplier technique, we obtain here a Noether-like theorem for fractional optimal control problems in the sense of Caputo.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/a06c372eeb2295d319d687acc75b032db48290aa
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In Applied Mathematics
- Delfim F. M. Torres
- Ricardo Almeida
- Shakoor Pooseh
- Rui A. C. Ferreira
- Agnieszka B. Malinowska
- Fahd Jarad
- E. Capelas de Oliveira
- Loïc Bourdin
In Modeling and Simulation
- Ricardo Almeida
- Delfim F. M. Torres
- Shakoor Pooseh
- Dumitru Băleanu
- Rui A. C. Ferreira
- Loïc Bourdin
- Agnieszka B. Malinowska
- Amin Jajarmi
In Numerical Analysis
- Ricardo Almeida
- Shakoor Pooseh
- Delfim F. M. Torres
- Dumitru Băleanu
- E. Capelas de Oliveira
- J. Sousa
- Amin Jajarmi
- J. Machado
Citations in the corpus
- Existence of a weak solution for fractional Euler-Lagrange equations (2012, unknown): “Consequently, numerous studies have been devoted to numerical schemes for (ELα) (see [3, 9]) and to the statement of fractional Noether’s theorems providing constants of motion (see [8, 14, 15]).”
- Fractional order optimal control problems with free terminal time (2013, background): “Case 1 of Corollary 1 was proven in [8] for (M,N) = (0, 1) and φ ≡ 0.”