Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 75, Issue 3, Pages 1009-1025Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2011.02.028
Keywords
Calculus of variations; Fractional calculus; Caputo derivatives; Fractional necessary optimality conditions
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Funding
- Portuguese Foundation for Science and Technology (FCT), through the Center for Research and Development in Mathematics and Applications (CIDMA)
- [SFRH/BD/33761/2009]
- Fundação para a Ciência e a Tecnologia [SFRH/BD/33761/2009] Funding Source: FCT
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We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of the previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered. (C) 2011 Elsevier Ltd. All rights reserved.
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