TY - JOUR
T1 - Square-Mean Pseudo $S$-Asymptotically $(ω, c)$-Periodic Mild Solutions to Some Stochastic Fractional Evolution Systems
AU - Moustapha Mbaye , Mamadou
AU - Diop , Amadou
AU - Chang , Yong-Kui
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 241
EP - 267
PY - 2025
DA - 2025/02
SN - 7
DO - http://doi.org/10.12150/jnma.2025.241
UR - https://global-sci.org/intro/article_detail/jnma/23825.html
KW - Stochastic processes, stochastic evolution equations, Brownian
motion, pseudo S-asymptotically $(ω, c)$-periodic functions.
AB - <p style="text-align: justify;">In this paper, we introduce the concept of square-mean pseudo $S$-asymptotically $(ω,c)$-periodic for stochastic processes and establish some
composition and convolution theorems for such stochastic processes. In addition, we investigate the existence and uniqueness of square-mean pseudo $S$-asymptotically $(ω,c)$-periodic mild solutions to some stochastic fractional
integrodifferential equations. We illustrate our main results with an application to stochastic Weyl fractional integrodifferential equations.</p>