Geodesic
Existence results of neutral stochastic partial dynamic equations with Stepanov terms on time scales
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2023), pp. 81-98

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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, neutral partial stochastic dynamic equations, exponentially stable semigroup.
Mots-clés : time scales 
@article{IVM_2023_2_a6,
     author = {M. Es-saiydy and M. Zarhouni and M. Zitane},
     title = {Existence results of neutral stochastic partial dynamic equations with {Stepanov} terms on time scales},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {81--98},
     publisher = {mathdoc},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_2_a6/}
}
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M. Es-saiydy; M. Zarhouni; M. Zitane. Existence results of neutral stochastic partial dynamic equations with Stepanov terms on time scales. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2023), pp. 81-98. http://geodesic.mathdoc.fr/item/IVM_2023_2_a6/