Square-Mean Pseudo S-Asymptotically (ω,c)-Periodic Mild Solutions to Some Stochastic Fractional Evolution Systems
Year: 2025
Author: Mamadou Moustapha Mbaye, Amadou Diop, Yong-Kui Chang
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 241–267
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.241
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 241–267
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Stochastic processes stochastic evolution equations Brownian motion pseudo S-asymptotically $(ω c)$-periodic functions.
Author Details
Mamadou Moustapha Mbaye Email
Amadou Diop Email
Yong-Kui Chang Email