Abstract
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.
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Solteiro Pires, E.J., Tenreiro Machado, J.A., de Moura Oliveira, P.B. et al. Particle swarm optimization with fractional-order velocity. Nonlinear Dyn 61, 295–301 (2010). https://doi.org/10.1007/s11071-009-9649-y
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DOI: https://doi.org/10.1007/s11071-009-9649-y