2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216519Using Caputo fractional derivative of order $α,$ $α\in (0,1),$ we consider some chaotic systems of fractional differential equation. We will prove that they can be synchronized and anti-synchronized using suitable nonlinear control function. The synchronized or anti-synchronized error system of fractional differential equations is used in secure communication.10 pages, 6 figuresDynamical Systems65P20, 94A05, 11T71text