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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2023 Number 2, Pages 81–98 (Mi ivm9856)

Existence results of neutral stochastic partial dynamic equations with Stepanov terms on time scales

M. Es-saiydy, M. Zarhouni, M. Zitane

Moulay Ismaïl University, Meknès, Morocco

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.

UDC: 517

Received: 26.03.2022
Revised: 26.03.2022
Accepted: 28.09.2022

DOI: 10.26907/0021-3446-2023-2-81-98



© Steklov Math. Inst. of RAS, 2024