c-Almost periodic type functions and applications

Abstract

In this paper, we introduce several various classes of c-almost periodic type functions and their Stepanov generalizations, where c ∈ ℂ and |c| = 1. We also consider the corresponding classes of c-almost periodic type functions depending on two variables and prove several related composition principles. Plenty of illustrative examples and applications are presented.

Keywords

• c-almost periodic functions
• c-uniformly recurrent functions
• semi-c-periodic functions
• convolution products
• abstract fractional semilinear inclusions
• 42a75
• 43a60
• 47d99