@Article{JNMA-7-1, author = {Moustapha, Mbaye, Mamadou and Diop, Amadou and Yong-Kui, Chang}, title = {Square-Mean Pseudo $S$-Asymptotically $(ω, c)$-Periodic Mild Solutions to Some Stochastic Fractional Evolution Systems}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {1}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.241}, url = {https://global-sci.com/article/91673/square-mean-pseudo-s-asymptotically-omega-c-periodic-mild-solutions-to-some-stochastic-fractional-evolution-systems} }