The method of integral transformations in inverse problems of anomalous diffusion

A. N. Bondarenko; T. V. Bugueva; D. S. Ivashchenko

doi:10.3103/S1066369X1703001X

The method of integral transformations in inverse problems of anomalous diffusion

A. N. Bondarenko, T. V. Bugueva, D. S. Ivashchenko

Кафедра высшей математики ФФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	1-11
Число страниц	11
Журнал	Russian Mathematics
Том	61
Номер выпуска	3
DOI	https://doi.org/10.3103/S1066369X1703001X
Состояние	Опубликовано - 1 мар. 2017

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10.3103/S1066369X1703001X

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The method of integral transformations in inverse problems of anomalous diffusion. / Bondarenko, A. N.; Bugueva, T. V.; Ivashchenko, D. S.

В: Russian Mathematics, Том 61, № 3, 01.03.2017, стр. 1-11.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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KW - anomalous diffusion

KW - fractional equation

KW - initial-boundary value problem

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KW - RANDOM-WALK MODELS

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