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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.
Received: 26.03.2022 Revised: 26.03.2022 Accepted: 28.09.2022
Citation:
M. Es-saiydy, M. Zarhouni, M. Zitane, “Existence results of neutral stochastic partial dynamic equations with Stepanov terms on time scales”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 2, 81–98; Russian Math. (Iz. VUZ), 67:2 (2023), 73–89
Linking options:
https://www.mathnet.ru/eng/ivm9856 https://www.mathnet.ru/eng/ivm/y2023/i2/p81
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