Leitmann’s direct method for fractional optimization problems

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.

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Bibliographic Details
Published in:Applied mathematics and computation 2010-10, Vol.217 (3), p.956-962
Main Authors: Almeida, Ricardo, Torres, Delfim F.M.
Format: Article
Language:English
Subjects:
Calculus of variations
Calculus of variations and optimal control
Direct methods
Exact sciences and technology
Exact solutions
Fractional calculus
INT
Integrals
Leitmann’s principle
Mathematical analysis
Mathematical models
Mathematics
Nonlinearity
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Optimal control
Optimization
Sciences and techniques of general use
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.03.085