4.7 Article

Leitmann's direct method for fractional optimization problems

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 3, Pages 956-962

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.03.085

Keywords

Calculus of variations; Optimal control; Direct methods; Fractional calculus; Leitmann's principle

Funding

  1. Control theory group (cotg) of the Centre for Research on Optimization and Control (CEOC) at the University of Aveiro
  2. Portuguese Foundation for Science and Technology (FCT)
  3. European Community Fund [FEDER/POCI 2010]

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Based on a method introduced by Leitmann [G. Leitmann, A note on absolute extrema of certain integrals, Int. J. Non-Linear Mech. 2 (1967) 55-59], we exhibit exact solutions for some fractional optimization problems of the calculus of variations and optimal control. (C) 2010 Elsevier Inc. All rights reserved.

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