The method of integral transformations in inverse problems of anomalous diffusion

The method of integral transformations in inverse problems of anomalous diffusion Full article

Journal

Russian Mathematics
ISSN: 1066-369X , E-ISSN: 1934-810X

Output data

Year: 2017, Volume: 61, Number: 3, Pages: 1-11 Pages count : 11 DOI: 10.3103/S1066369X1703001X

Tags

anomalous diffusion; fractional equation; initial-boundary value problem; inverse problem

Authors

Bondarenko A.N. ¹ , Bugueva T.V. ^1,2 , Ivashchenko D.S. ³

Affiliations

1	Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, pr. Ak. Koptyuga 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, ul. Pirogova str. 2, Novosibirsk, 630090, Russian Federation
3	RN-UfaNIPIneft, LLC, ul. Bekhtereva 3, Ufa, 450103, Russian Federation

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. © 2017, Allerton Press, Inc.

Bondarenko A.N. , Bugueva T.V. , Ivashchenko D.S.
The method of integral transformations in inverse problems of anomalous diffusion
Russian Mathematics. 2017. V.61. N3. P.1-11. DOI: 10.3103/S1066369X1703001X WOS Scopus OpenAlex

Бондаренко А.Н. , Бугуева Т.В. , Иващенко Д.С.
Метод интегральных преобразований в обратных задачах аномальной диффузии
Известия высших учебных заведений. Серия: Математика. 2017. №3. С.3--14.

Web of science:	WOS:000408837700001
Scopus:	2-s2.0-85014749114
OpenAlex:	W2592907779

DB	Citing
Scopus	3
OpenAlex	3
Web of science	2