About a composite fractional relaxation equation via regularized families

نویسندگان

1 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang,China

2 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang,China

3 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang,China

4 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang,China

5 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang,China

6 College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang,China

doi
10.24200/sci.2017.4319
چکیده

This work deals with asymptotic periodicity and compactness for a class of composite fractional relaxationequation. Some difficulties arises when the effect of different kinds of nonhomogeneous terms are taken intoconsideration. 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.