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arXiv · 1102.3360

Fractional variational problems depending on indefinite integrals

Ricardo Almeida·Shakoor Pooseh·Delfim F. M. Torres
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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 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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Ricardo Almeida, Shakoor Pooseh, Delfim F. M. Torres. 2011-02-16. Fractional variational problems depending on indefinite integrals. https://doi.org/10.1016/j.na.2011.02.028

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