OPTIMIZATION PARTICLE SWARM BASED ON THE METHOD OF FRACTIONAL CALCULUS
Spend a research project in which was considered particle swarm optimization based on the method of fractional calculus. As part of the optimization of the classic swarm algorithm proposed fractional derivative. Applying the kind of optimization with dynamic changes in the parameters of the algorithm. This parameter is selected speed. In early studies, it was observed that the velocity of the particles can increase dramatically, which is typical of the particles are far from the best global and local positions. As a result, the particles go beyond the boundaries of search, that is dispersed. To avoid such situations, the speed limit is introduced. In this approach, a clear advantage ceases containment sharp increase in speed. Also important is the fact that in some cases the behavior of the swarm using algorithms related characteristic fractal dynamics, expressed in the self-similar configuration particle swarm finding the optimum for certain nonlinear functions. In view of this statement was searched, which will satisfy the above requirements. That statement is a derivative of non-integer order (fractional).