Continuability of solutions to fractional differential equations

Abstract

This article concerns the Caputo fractional differential equation cDααx[n-1](t) = ƒ(t, x(t)) + e(t), n ≥ 2 where x[n-1] is the quasiderivative of x of order (n - 1) and cDαα is the Caputo derivative of the order α ∈ (0, 1). We study the continuability and noncontinuability of solutions.