Abstract:
The purpose of this paper is to investigate the existence and uniqueness of the square mean weighted pseudo almost periodic solution for a neutral stochastic partial dynamic equations with weighted Stepanov-like pseudo almost periodic terms on time scales. Firstly, we introduce a time scale version of the weighted Stepanov-like pseudo-almost periodic processes. Finally, an example is provided to illustrate our abstract results.
Keywords:weighted Stepanov-like pseudo almost periodicity, time scales, neutral partial stochastic dynamic equations, exponentially stable semigroup.