Fractional variational problems depending on indefinite integrals |
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Authors: | Ricardo Almeida Shakoor Pooseh Delfim F.M. Torres |
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Affiliation: | Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal |
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Abstract: | 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. |
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Keywords: | 49K05 49S05 26A33 34A08 |
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