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Volume 7, Issue 1
Square-Mean Pseudo $S$-Asymptotically $(ω, c)$-Periodic Mild Solutions to Some Stochastic Fractional Evolution Systems

Mamadou Moustapha Mbaye, Amadou Diop & Yong-Kui Chang

DOI: 10.12150/jnma.2025.241

J. Nonl. Mod. Anal., 7 (2025), pp. 241-267.

Published online: 2025-02

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Stochastic processes, stochastic evolution equations, Brownian motion, pseudo S-asymptotically $(ω, c)$-periodic functions.

  • AMS Subject Headings

30D45, 34C25, 60H15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-241, author = {Moustapha Mbaye , MamadouDiop , Amadou and Chang , Yong-Kui}, 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 = {http://global-sci.org/intro/article_detail/jnma/23825.html} }
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 -

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.

Moustapha Mbaye , MamadouDiop , Amadou and Chang , Yong-Kui. (2025). Square-Mean Pseudo $S$-Asymptotically $(ω, c)$-Periodic Mild Solutions to Some Stochastic Fractional Evolution Systems. Journal of Nonlinear Modeling and Analysis. 7 (1). 241-267. doi:10.12150/jnma.2025.241
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