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