%0 Journal Article 
%A Murillo Arcila, Marina
%A Peris, A.
%A Vargas Moreno, Álvaro
%T Dynamics of the Caputo fractional derivative
%D 2025
%@ 1314-2224, 1311-0454
%U http://hdl.handle.net/10498/36550
%X In this article we analyse the dynamical behaviour of the Caputo complex fractional
derivative. We prove that the Caputo complex fractional derivative operator is Devaney
chaotic in the Mittag-Leffler Caputo space. We will also show that a tuple of different
iterates of a Caputo derivative multiple is disjoint hypercyclic. Finally, we provide
sufficient conditions that ensure chaos for one of the most common numerical approximation of the Caputo derivative, that is, its L1 discretization.
%K Caputo fractional derivative
%K Devaney chaos
%K Disjoint hypercyclicity
%K L1 discretization
%~ Universidad de Cádiz