About a composite fractional relaxation equation via regularized families

This work deals with asymptotic periodicity and compactness for a class of composite fractional relaxation equations. Some difficulties arise when the effect of different kinds of nonhomogeneous terms is taken into consideration. To overcome these, we use methods resulting from regularized families and fixed point techniques, which are an important tool to study nonlinear phenomena. We can cover a large class of nonlinearities.