RT journal article
T1 Dynamics of the Caputo fractional derivative
A1 Murillo Arcila, Marina
A1 Peris, A.
A1 Vargas Moreno, Álvaro
A2 Matemáticas
K1 Caputo fractional derivative
K1 Devaney chaos
K1 Disjoint hypercyclicity
K1 L1 discretization
AB In this article we analyse the dynamical behaviour of the Caputo complex fractionalderivative. We prove that the Caputo complex fractional derivative operator is Devaneychaotic in the Mittag-Leffler Caputo space. We will also show that a tuple of differentiterates of a Caputo derivative multiple is disjoint hypercyclic. Finally, we providesufficient conditions that ensure chaos for one of the most common numerical approximation of the Caputo derivative, that is, its L1 discretization.
PB Springer
SN 1314-2224, 1311-0454
YR 2025
FD 2025
LK http://hdl.handle.net/10498/36550
UL http://hdl.handle.net/10498/36550
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026