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Register a new userAn inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion
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Added by
Weihua Deng Professor
Publication date
2021
fields
Informatics Engineering
and research's language is
English
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We study the inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion with Hurst index $Hin(0,1)$. With the aid of a novel estimate, by using the operator approach we propose regularity analyses for the direct problem. Then we provide a reconstruction scheme for the source terms $f$ and $g$ up to the sign. Next, combining the properties of Mittag-Leffler function, the complete uniqueness and instability analyses are provided. Its worth mentioning that all the analyses are unified for $Hin(0,1)$.
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