Inverse Problem for Fractional Diffusion Equation
Fractional Calculus and Applied Analysis, Tome 14 (2011) no. 1, p. 31.

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MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion equation. If a lower bound on the diffusion coefficient is known a priori then even only two measurements are sufficient. The technique is based on possibility of extracting the full boundary spectral data from special lateral measurements.
Classification : 35R11, 35R30, 35K57, 35-02
Mots-clés : Fractional Diffusion Equation, Inverse Problem, Boundary Spectral Data, Eigenfunction Expansion, fractional diffusion equation, inverse problem, boundary spectral data, eigenfunction expansion 
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Tuan, Vu Kim. Inverse Problem for Fractional Diffusion Equation. Fractional Calculus and Applied Analysis, Tome 14 (2011) no. 1, p. 31. https://geodesic-test.mathdoc.fr/item/FCAA_2011__14_1_219650/