Lyapunov stability solutions of fractional integrodifferential equations

Abstract

Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations , 0 < α ≤ 1, with the initial condition x ( α −1) ( t 0 ) = x 0 , have been investigated. Our methods are applications of Gronwall′s lemma and Schwartz inequality.