Discrete-time fractional variational problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

Bastos, NRO (Autor) Outra; Ferreira, RAC (Autor) Outra; Torres, DFM (Autor) Outra

Revista

Título: Signal Processing

Vol. 91

Páginas: 513-524

ISSN: 0165-1684

Editora: Elsevier

Indexação

ISI Web of Knowledge - 129 Citações

Scopus - 171 Citações

Outras Informações

ID Authenticus: P-002-TQT

DOI: 10.1016/j.sigpro.2010.05.001

Abstract (EN): We introduce a discrete-time fractional calculus of variations on the time scale (hZ)(a), a is an element of R,h > 0. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. They show that solutions to the considered fractional problems become the classical discrete-time solutions when the fractional order of the discrete-derivatives are integer values, and that they converge to the fractional continuous-time solutions when h tends to zero. Our Legendre type condition is useful to eliminate false candidates identified via the Euler-Lagrange fractional equation.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12