Xu, JiaohuiZhang, ZhengceCaraballo Garrido, Tomás2022-03-032022-03-032019-11-19Xu, J., Zhang, Z. y Caraballo Garrido, T. (2019). Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay. Journal of Dynamics and Differential Equations, 22 (34), 583-603.1572-92221040-7294https://hdl.handle.net/11441/130371In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order α ∈ (0, 1) containig finite or infinite delay with multiplicative noise is established, respectively, in the spaces C([−h, 0]; L2(Ω; L2 σ )) and C((−∞, 0]; L2(Ω; L2 σ )). The existence and uniqueness of mild solution to such kind of equations are proved by using a fixed-point argument. Also the continuity with respect to initial data is shown. Finally, we conclude with several comments on future research concerning the challenging model: time fractional stochastic delay 2D-Navier–Stokes equations with multiplicative noise. Hence, this paper can be regarded as a first step to study this challenging topic.application/pdf20 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Well-posednessStochastic time fractional 2D-Stokes equationsMild solutionFinite delayInfinite delayMultiplicative noiseinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10884-019-09809-3