%0 Journal Article 
%A Conejero, J.A.
%A Kostic, Marko
%A Miana, Pedro J.
%A Murillo Arcila, Marina
%T Distributionally chaotic families of operators on Fréchet spaces
%D 2016
%@ 1553-5258

%U http://hdl.handle.net/10498/35471
%X The existence of distributional chaos and distributional irregular
vectors has been recently considered in the study of linear dynamics of operators
and C0-semigroups. In this paper we extend some previous results on both
notions to sequences of operators, C0-semigroups, C-regularized semigroups,
and  $\alpha$-times integrated semigroups on Fr echet spaces. We also add a study of
rescaled distributionally chaotic C0-semigroups. Some examples are provided
to illustrate all these results.
%K Distributional chaos
%K integrated semigroups
%K C-regularized semigroups
%K cosine functions
%K abstract time-fractional equations
%K hypercyclicity
%K well-posedness
%K Fréchet spaces
%~ Universidad de Cádiz