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General necessary conditions for infinite horizon fractional variational problems
Authors:Ricardo Almeida
Affiliation:Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Abstract:We consider infinite horizon fractional variational problems, where the fractional derivative is defined in the sense of Caputo. Necessary optimality conditions for higher-order variational problems and optimal control problems are obtained. Transversality conditions are obtained in the case state functions are free at the initial time.
Keywords:Fractional calculus of variations  Infinite horizon problems
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