Square-mean S-asymptotically (ω,Q)-periodic processes and mild solutions to some neutral fractional stochastic evolution equations
Keywords:
Periodic solutions, Stochastic processes, stochastic evolution equationsAbstract
Recent results concerning (ω,Q)-periodic functions are extended tore current stochastic processes in the square mean sense, termedS-asymptotic (ω,Q)-periodic processes, where Q denotes a linear isomorphism from a Hilbert space to itself. These quasi-periodic stochastic processes covers S-asymptotic ω-(anti-)periodic processes, Bloch and(ω,c)-periodic stochastic processes in Hilbert spaces. We prove the completeness, convolution and superposition theorems for theS-asymptotic (ω,Q)-periodic process in abstract spaces. We also consider some existence results forS-asymptotically(ω,Q)-periodic mild solutions to stochastically forced fractional evolution equations under some different conditions.Somme examples are given to illustrate the existence results
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Copyright (c) 2026 Ousmane Touré, Mamadou Moustapha Mbaye, Amadou Diop
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