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arXiv · 1109.0658

Fractional Euler-Lagrange differential equations via Caputo derivatives

Ricardo Almeida·Agnieszka B. Malinowska·Delfim F. M. Torres
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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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Ricardo Almeida, Agnieszka B. Malinowska, Delfim F. M. Torres. 2011-09-03. Fractional Euler-Lagrange differential equations via Caputo derivatives. https://doi.org/10.1007/978-1-4614-0457-6_9

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