Document Type: Article
Departamento de Matem´atica, Universidade Federal de Pernambuco, Recife-PE, CEP 50540-740, Brazil
Departamento de Matem´atica y Estad´ıstica, Universidad de La Frontera, Casilla 54-D, Temuco, Chile
This work deals with asymptotic periodicity and compactness for a class of composite fractional relaxation
equation. Some difficulties arises when the effect of different kinds of nonhomogeneous terms are taken into
consideration. To overcome these we use methods coming from regularized families and fixed point techniques,
which are an important tool to study of nonlinear phenomena. We can cover a large class of nonlinearities.