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Research Article | Open Access

S-asymptotically ω-periodic solutions in distribution for a class of stochastic fractional functional differential equations

Shufen Zhao( ), Xiaoqian Li, Jianzhong Zhang
School of Mathematics and Statistics, Taishan University, Taian, 271000, China
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Abstract

In this paper, we introduce the concept of an S-asymptotically ω-periodic process in distribution for the first time, and by means of the successive approximation and the Banach contraction mapping principle, respectively, we obtain sufficient conditions for the existence and uniqueness of the S-asymptotically ω-periodic solutions in distribution for a class of stochastic fractional functional differential equations.

Keywords

square-mean S-asymptotically ω-periodic processS-asymptotically ω-periodic solution in distributionfractional differential equation

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Electronic Research Archive
Volume 31 Issue 2,
February 2023
Pages 599-614
DOI: 10.3934/era.2023029

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Cite this article:
Zhao S, Li X, Zhang J. S-asymptotically ω-periodic solutions in distribution for a class of stochastic fractional functional differential equations. Electronic Research Archive, 2023, 31(2): 599-614. https://doi.org/10.3934/era.2023029

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Received: 06 August 2022
Revised: 12 October 2022
Accepted: 17 October 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)