Article
Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise
Author/s | Tuan, Nguyen Huy
Caraballo Garrido, Tomás Thach, Tran Ngoc |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2023-05-03 |
Deposit Date | 2023-07-12 |
Published in |
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Abstract | In 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 ... In 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 separately |
Citation | Tuan, 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. |