Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations

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Main Author: Ping, Zhu
Format: Book
Language:English
Published: Springer 2023
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Online Access:https://link.springer.com/article/10.1186/s13660-023-02946-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7494
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spelling 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
collection 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
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