In this work, we establish a new concept of weighted pseudo almost automorphic functions
using the measure theory. We present new results on weighted ergodic functions like …

The theory of time scales was initiated by S. Hilger in his PhD thesis [141] in 1988 in order to
unify continuous and discrete analysis. This new and exciting type of mathematics is more …

By using the measure theory on time scales, we extend the notion of weighted Stepanov-like
pseudo almost periodicity to time scales and study some of its basic properties. To illustrate …

First, we show by constructing two counterexamples that the decomposition of weighted
pseudo-almost periodic functions is not unique in general. Then we prove that the …

This paper is concerned with the existence and uniqueness of a weighted pseudo almost
automorphic mild solution to the semilinear fractional equation: Dtαu (t)= Au (t)+ Dtα− 1f (t, u …

In this paper, we propose a new class of functions called weighted Stepanov-like pseudo
almost automorphic functions, which generalize in a natural fashion the concept of almost …

In this paper we first introduce two new concepts called respectively weighted pseudo
periodicity and weighted pseudo anti-periodicity, which generalize respectively the well …

In this paper, we establish some new composition theorems for Stepanov-like weighted
pseudo almost automorphic functions. We then apply the obtained results to investigate the …

We establish a composition theorem of Stepanov almost periodic functions, and, with its
help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained …

In this paper, we study the parameter sensitivity analysis a class of fractional impulsive
stochastic differential equation with S p-weighted pseudo almost periodic coefficients and …