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• W2080773101 abstract "We introduce a discrete-time fractional calculus of variations on the time scale $hmathbb{Z}$, $h > 0$. 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." @default.
• W2080773101 created "2016-06-24" @default.
• W2080773101 creator A5036397819 @default.
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• W2080773101 date "2011-03-01" @default.
• W2080773101 modified "2023-10-13" @default.
• W2080773101 title "Discrete-time fractional variational problems" @default.
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• W2080773101 doi "https://doi.org/10.1016/j.sigpro.2010.05.001" @default.
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