Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations
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2023
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oai:localhost:PNK-74942023-04-04T07:25:12Z Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations Ping, Zhu Stepanov-like doubly weighted pseudo Krasnoselskii fixed-point theorem CC BY This paper first investigates the equivalence of the space and translation invariance of Stepanov-like doubly weighted pseudo almost automorphic stochastic processes for nonequivalent weight functions; secondly, based on semigroup theory, fractional calculations, and the Krasnoselskii fixed-point theorem, we obtain the existence and uniqueness of Stepanov-like doubly weighted pseudo almost automorphic mild solutions for a class of nonlinear fractional stochastic neutral functional differential equations under non-Lipschitz conditions. These results enrich the complex dynamics of Stepanov-like doubly weighted pseudo almost automorphic stochastic processes. 2023-04-04T07:25:12Z 2023-04-04T07:25:12Z 2023 Book https://link.springer.com/article/10.1186/s13660-023-02946-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7494 en application/pdf Springer |
| institution |
Digital Phenikaa |
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Digital Phenikaa |
| language |
English |
| topic |
Stepanov-like doubly weighted pseudo Krasnoselskii fixed-point theorem |
| spellingShingle |
Stepanov-like doubly weighted pseudo Krasnoselskii fixed-point theorem Ping, Zhu Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations |
| description |
CC BY |
| format |
Book |
| author |
Ping, Zhu |
| author_facet |
Ping, Zhu |
| author_sort |
Ping, Zhu |
| title |
Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations |
| title_short |
Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations |
| title_full |
Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations |
| title_fullStr |
Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations |
| title_full_unstemmed |
Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations |
| title_sort |
stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1186/s13660-023-02946-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7494 |
| _version_ |
1762274899777290240 |
| score |
8.893527 |
