About a composite fractional relaxation equation via regularized families

Document Type: Article

Authors

1 Departamento de Matem´atica, Universidade Federal de Pernambuco, Recife-PE, CEP 50540-740, Brazil

2 Departamento de Matem´atica y Estad´ıstica, Universidad de La Frontera, Casilla 54-D, Temuco, Chile

Abstract

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.

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