RT journal article T1 Distributionally chaotic families of operators on Fréchet spaces A1 Conejero, J.A. A1 Kostic, Marko A1 Miana, Pedro J. A1 Murillo Arcila, Marina A2 Matemáticas K1 Distributional chaos K1 integrated semigroups K1 C-regularized semigroups K1 cosine functions K1 abstract time-fractional equations K1 hypercyclicity K1 well-posedness K1 Fréchet spaces AB The existence of distributional chaos and distributional irregularvectors has been recently considered in the study of linear dynamics of operatorsand C0-semigroups. In this paper we extend some previous results on bothnotions to sequences of operators, C0-semigroups, C-regularized semigroups,and  $\alpha$-times integrated semigroups on Fr echet spaces. We also add a study ofrescaled distributionally chaotic C0-semigroups. Some examples are providedto illustrate all these results. SN 1553-5258 YR 2016 FD 2016 LK http://hdl.handle.net/10498/35471 UL http://hdl.handle.net/10498/35471 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026