6Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 128, pp. 1-12.

Title: Continuability of solutions to fractional differential equations
       
Author: Miroslav  Bartusek (Masaryk  Univ., Czech Republic)

Abstract:
This article concerns the Caputo fractional differential equation
 $$
 {}^{c}\!D_a^\alpha x ^{[n-1]} (t) = f(t, x(t)) + e(t),  \quad n\geq 2
 $$
 where $x ^{[n-1]}$ is the quasiderivative of x of order (n-1) and
 ${}^{c}\!D_a^\alpha$ is the Caputo derivative of the order $\alpha\in (0,1)$.
 We study the continuability and noncontinuability of solutions.

Submitted September 15, 2019. Published December 22, 2020.
Math Subject Classifications: 26A33, 34A08.
Key Words: Caputo fractional equations; continuability; noncontinuability; quasiderivatives.