Abstract
We consider an initial-boundary value problem for a multidimensional fractional diffusion equation. The aim of the paper is to construct an integral transformation which establishes a biunique correspondence between the fractional diffusion equation and the hyperbolic one. This transformation can be used for proving the uniqueness of the solution of the inverse problem for the fractional diffusion equation.
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Original Russian Text © A.N. Bondarenko, T.V. Bugueva, D.S. Ivashchenko, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 3, pp. 3–14.
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Bondarenko, A.N., Bugueva, T.V. & Ivashchenko, D.S. The method of integral transformations in inverse problems of anomalous diffusion. Russ Math. 61, 1–11 (2017). https://doi.org/10.3103/S1066369X1703001X
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DOI: https://doi.org/10.3103/S1066369X1703001X