一类分数微分系统解的存在唯一性

Recently, some researchers obtained some good results of the fractional differential equations by the methods and techniques of the ordinary differential equations (ODE).This paper applied the monotone iteration method and the Nagumo-type condition of ODE into the fractional differential equations ,and also proved the the existence and uniqueness of solution to a couple system of fractional differential equations. In addition, through the fractional differential inequalities and other methods we obtained the results of this paper which generalizes the results of V.Lakshmikantham and others.