Pires, E. J. SolteiroMachado, J. A. TenreiroOliveira, P. B. de MouraCunha, J. BoaventuraMendes, Luís2025-11-122025-11-122010-01-08Solteiro 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.0924-090Xhttp://hdl.handle.net/10400.8/14595This 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 wellknown 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.engParticle swarm optimizationFractional calculusjournal article10.1007/s11071-009-9649-y1573-269X