Sharif University of Technology Scientia Iranica 1026-3098 25 1 2018 02 01 About a composite fractional relaxation equation via regularized families 329 338 4319 10.24200/sci.2017.4319 EN Aldryn Aparcana Departamento de Matem´atica, Universidade Federal de Pernambuco, Recife-PE, CEP 50540-740, Brazil Claudio Cuevas Departamento de Matem´atica, Universidade Federal de Pernambuco, Recife-PE, CEP 50540-740, Brazil Herme Soto Departamento de Matem´atica y Estad´ıstica, Universidad de La Frontera, Casilla 54-D, Temuco, Chile Journal Article 2016 08 16 This work deals with asymptotic periodicity and compactness for a class of composite fractional relaxation<br />equation. Some difficulties arises when the effect of different kinds of nonhomogeneous terms are taken into<br />consideration. To overcome these we use methods coming from regularized families and fixed point techniques,<br />which are an important tool to study of nonlinear phenomena. We can cover a large class of nonlinearities. Composite fractional relaxation equation asymptotic periodicity mild solutions compact sets of solutions https://scientiairanica.sharif.edu/article_4319_dacb567e164f1c06f85ed2e9cb149ae9.pdf