Lyapunov stability solutions of fractional integrodifferential equations (Q1777716)

The authors consider the following fractional integrodiffrential equation in a Euclidean space: \[ x^{(q)} (t)=f ( t,x (t))+ \int_{t_0}^t K( t,s,x (s))ds, \quad 0<q\leq 1;\;t\geq 0. \] Here \(f\) is given vector-valued function and \(K\) is a matrix kernel. Lyapunov stability and asymptotic stability conditions of stationary states are investigated by applications of Gronwall's lemma and the Schwarz inequality.