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Existence and uniqueness of the solution for an inverse problem of a fractional diffusion equation with integral condition - MaRDI portal

Existence and uniqueness of the solution for an inverse problem of a fractional diffusion equation with integral condition (Q2138166)

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Existence and uniqueness of the solution for an inverse problem of a fractional diffusion equation with integral condition
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    Existence and uniqueness of the solution for an inverse problem of a fractional diffusion equation with integral condition (English)
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    11 May 2022
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    Summary: The solvability of the fractional partial differential equation with integral overdetermination condition for an inverse problem is investigated in this paper. We analyze the direct problem solution by using the ``energy inequality'' method. Using the fixed point technique, the existence and uniqueness of the solution of the inverse problem on the data are established.
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