4.7 Article

Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 59, Issue 9, Pages 3110-3116

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.02.032

Keywords

Fractional Euler-Lagrange equation; Fractional derivative; Caputo derivative

Funding

  1. EC
  2. Bialystok University of Technology
  3. [UTAustin/MAT/0057/2008]
  4. Fundação para a Ciência e a Tecnologia [UTAustin/MAT/0057/2008] Funding Source: FCT

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This paper presents the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrangian depending on the free end-points. The fractional derivatives are defined in the sense of Caputo. (C) 2010 Elsevier Ltd. All rights reserved.

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