4.7 Article

Calculus of variations with fractional derivatives and fractional integrals

Journal

APPLIED MATHEMATICS LETTERS
Volume 22, Issue 12, Pages 1816-1820

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2009.07.002

Keywords

Euler-Lagrange equation; Riemann-Liouville fractional derivative; Riemann-Liouville fractional integral

Funding

  1. Portuguese foundation for Science and Technology (FCT)
  2. European Community [FEDER/POCI 2010]

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We prove the Euler-Lagrange fractional equations and the sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville. (C) 2009 Elsevier Ltd. All rights reserved.

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