Semi-dynamical systems generated by autonomous Caputo fractional differential equations (Q2244709)

The authors analyze Caputo fractional differential equations by converting them to Volterra integral equations and applying the contraction mapping principle. The nonlinear term \(g(x(t))\) is assumed to be globally Lipschitz. Weighted norms in the space of continuous functions are introduced. Also, skew-product flows are considered. The existence and continuous dependence results are well-known and classical.