NECESSARY OPTIMALITY CONDITIONS FOR FRACTIONAL DIFFERENCE PROBLEMS OF THE CALCULUS OF VARIATIONS

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Bastos, NRO (Author) Other; Ferreira, RAC (Author) Other; Torres, DFM (Author) Other

Journal

Title: Discrete and Continuous Dynamical Systems

Vol. 29

Pages: 417-437

ISSN: 1078-0947

Publisher: American Institute of Mathematical Sciences

Indexing

ISI Web of Knowledge - 75 Citations

Scopus - 110 Citations

Other information

Authenticus ID: P-002-VJB

DOI: 10.3934/dcds.2011.29.417

Abstract (EN): We introduce a discrete-time fractional calculus of variations. 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 the solutions of the fractional problems coincide with the solutions of the corresponding non-fractional variational problems when the order of the discrete derivatives is an integer value.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21