Tuan, Nguyen HuyCaraballo Garrido, TomásThach, Tran Ngoc2023-07-122023-07-122023-05-03Tuan, N.H., Caraballo Garrido, T. y Thach, .N. (2023). Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise. Asymptotic Analysis, 133 (1-2), 227-254. https://doi.org/10.3233/ASY-221811.0921-71341875-8576https://hdl.handle.net/11441/147889In this work, we investigate stochastic fractional diffusion equations with Caputo-Fabrizio fractional derivatives and multiplicative noise, involving finite and infinite delays. Initially, the existence and uniqueness of the mild solution in the spaces C p ([−a, b];L q (Ω, H˙ r ))) and C δ ((−∞, b];L q (Ω, H˙ r ))) are established. Next, besides investigating the regularity properties, we show the continuity of mild solutions with respect to the initial functions and the order of the fractional derivative for both cases of delay separatelyapplication/pdf28 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/fractional diffusion equationsstandard Brownian motionfinite delayinfinite delaystochastic equationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.3233/ASY-221811