Leitmann's direct method for fractional optimization problems
Ricardo Almeida, Delfim F. M. Torres
TL;DR
This paper applies Leitmann's direct method to solve fractional optimization problems in calculus of variations and optimal control, providing exact solutions for specific cases.
Contribution
It extends Leitmann's method to fractional calculus, offering a novel approach for solving fractional optimization problems exactly.
Findings
Exact solutions for fractional calculus of variations problems.
Application of Leitmann's method to fractional optimal control.
Demonstration of method effectiveness on specific problems.
Abstract
Based on a method introduced by Leitmann [Internat. J. Non-Linear Mech. {\bf 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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