Propagation of radical ideas in societies with memory: Competition between radical strength and social cohesion

Based on a dynamical model with fractional derivatives we show that the evolution of radical groups in society memory depends mainly active proselytism and level cohesion social networks. We find conditions determine group either disappears or, contrary, achieves permanent significant expression. also discuss possible intervention strategies susceptible population lead to disappearance groups. see higher memory, maximum proportion radicals decreases, but those manage maintain their presence during larger period time.