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

Title
NECESSARY OPTIMALITY CONDITIONS FOR FRACTIONAL DIFFERENCE PROBLEMS OF THE CALCULUS OF VARIATIONS
Type
Article in International Scientific Journal
Year
2011
Authors
Bastos, NRO
(Author)
Other
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Ferreira, RAC
(Author)
Other
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Torres, DFM
(Author)
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Journal
Vol. 29
Pages: 417-437
ISSN: 1078-0947
Other information
Authenticus ID: P-002-VJB
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
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