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Fractional Euler-Lagrange differential equations via Caputo derivatives (1109.0658v1)
Published 3 Sep 2011 in math.OC and math.CA
Abstract: We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given. Several problems are considered: with fixed or free boundary conditions, and in presence of integral constraints that also depend on Caputo derivatives.
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