Abstract
We are concerned with an inverse problem associated with a one-dimensional fractional parabolic equation in the impedance form. The spectral data is extracted from a single reading of the values of a solution collected on the boundaries. The mathematical tools are drawn from M.G. Krein’s inverse spectral theory of the string, and the use of a classical initial condition makes it appropriate for imaging by nondestructive methods.
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Boumenir, A., Tuan, V.K. (2019). A Fractional Inverse Initial Value Problem. In: Singh, V., Gao, D., Fischer, A. (eds) Advances in Mathematical Methods and High Performance Computing. Advances in Mechanics and Mathematics, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-02487-1_24
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