Geodesic
Method of integral transformations in inverse problems of anomalous diffusion
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 3-14

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We consider an initial boundary-value problem for a multidimentional fractional diffusion equation. The aim of the paper is the construction of integrated transformation with a kernel of type of Right which is the unique correspondence connecting the fractional equation of diffusion and the hyperbolic equation. This transformation can be used for the proof of uniqueness of the solution of an inverse problem for the fractional equation of diffusion.
Keywords: fractional equation, initial boundary-value problem, inverse problem.
Mots-clés : anomalous diffusion 
@article{IVM_2017_3_a0,
     author = {A. N. Bondarenko and T. V. Bugueva and D. S. Ivashchenko},
     title = {Method of integral transformations in inverse problems of anomalous diffusion},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--14},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_3_a0/}
}
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A. N. Bondarenko; T. V. Bugueva; D. S. Ivashchenko. Method of integral transformations in inverse problems of anomalous diffusion. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 3-14. http://geodesic.mathdoc.fr/item/IVM_2017_3_a0/