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| Square-Mean Pseudo $S$-Asymptotically $(\omega,c)$-Periodic Mild Solutions to Some Stochastic Fractional Evolution Systems |
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| KeyWord:Stochastic processes, stochastic evolution equations, Brownian motion, pseudo $S$-asymptotically $(\omega,c)$-periodic functions |
| Author Name | Affiliation | | Mamadou Moustapha Mbaye | D\'epartement de Math\'ematiques, Facult\'e des Sciences et Technique, Universit\'e Cheikh Anta Diop, BP5005, Dakar-Fann, Senegal | | Amadou Diop | Laboratory of Numerical Analysis and Computer Science, Gaston Berger University, BP 234, Saint-Louis, Senegal | | Yong-Kui Chang | School of Mathematic and Statistics, Xidian University, Xi'an 710071, Shaanxi, China |
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| Abstract: |
| In this paper, we introduce the concept of square-mean pseudo $S$-asymptotically $(\omega,c)$-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 $(\omega,c)$-periodic mild solutions to some stochastic fractional integrodifferential equations. We illustrate our main results with an application to stochastic Weyl fractional integrodifferential equations. |
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