A note on Weyl pseudo almost automorphic functions and their properties

Purpose: In this paper we discuss the notion of Weyl pseudo almost automorphic functions. These kind of functions are more general than almost automorphic functions and Stepanov almost automorphic functions. We establish the composition theorem for this class of functions.Methods: The Weyl norm has been used to prove the results. In order to prove the composition theorem, the function has been broken into different parts.Results: The concept of Weyl pseudo almost automorphic functions are defined. The composition theorem has been proved for this kind of functions.Conclusion: The concept is new and may be useful in the qualitative theory of differential equations.