The monotonic property and stability of solutions of fractional differential equations

In this paper we improve on the monotone property of Lemma 1.7.3 in Lakshmikantham et al. (2009) [5] for the case g(t,u)=λug(t,u)=λu with a nonnegative real number λλ. We also investigate the Mittag-Leffler stability of solutions of fractional differential equations by using the fractional comparison principle.