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Zbl 1204.90119
Solteiro Pires, E.J.; Tenreiro Machado, J.A.; De Moura Oliveira, P.B.; Boaventura Cunha, J.; Mendes, Lu{\'\i}s
Particle swarm optimization with fractional-order velocity. (English)
[J] Nonlinear Dyn. 61, No. 1-2, 295-301 (2010). ISSN 0924-090X; ISSN 1573-269X/e

Summary: This paper proposes a novel method for controlling the convergence rate of a particle swarm optimization algorithm using fractional calculus (FC) concepts. The optimization is tested for several well-known functions and the relationship between the fractional order velocity and the convergence of the algorithm is observed. The FC demonstrates a potential for interpreting evolution of the algorithm and to control its convergence.

MSC 2000:: *90C59 Approximation methods and heuristics
26A33 Fractional derivatives and integrals (real functions)

Keywords: particle swarm optimization; fractional calculus

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Zentralblatt MATH Berlin [Germany]