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Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2012

Fractional variational problems depending on indefinite integrals

Ricardo Almeida
  • Function : Author
Shakoor Pooseh
  • Function : Author

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 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.

Dates and versions

hal-00724709 , version 1 (22-08-2012)

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Ricardo Almeida, Shakoor Pooseh, Delfim F. M. Torres. Fractional variational problems depending on indefinite integrals. Nonlinear Analysis: Theory, Methods and Applications, 2012, 75 (3), pp.1009-1025. ⟨10.1016/j.na.2011.02.028⟩. ⟨hal-00724709⟩

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