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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 3–14 (Mi ivm9212)  
This article is cited in 5 scientific papers (total in 5 papers)

Method of integral transformations in inverse problems of anomalous diffusion

A. N. Bondarenkoa, T. V. Buguevaab, D. S. Ivashchenkoc

a Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, 4 Ak. Koptyuga Ave., Novosibirsk, 630090 Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090 Russia
c RN-UfaNIPIneft, LLC, 3 Bekhtereva str., Ufa, 450103 Russia
Full-text PDF (231 kB) Citations (5)
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Abstract: 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, anomalous diffusion, initial boundary-value problem, inverse problem.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00208_а
Received: 09.09.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X1703001X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. N. Bondarenko, T. V. Bugueva, D. S. Ivashchenko, “Method of integral transformations in inverse problems of anomalous diffusion”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 3–14; Russian Math. (Iz. VUZ), 61:3 (2017), 1–11
Citation in format AMSBIB
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\paper Method of integral transformations in inverse problems of anomalous diffusion
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\issue 3
\pages 3--14
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\vol 61
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  • https://www.mathnet.ru/eng/ivm/y2017/i3/p3
    • This publication is cited in the following 5 articles:
    1. D. K. Durdiev, A. A. Boltaev, A. A. Rakhmonov, “Zadacha opredeleniya yadra tipa svertki v uravnenii Mura–Gibsona–Tomsona tretego poryadka”, Izv. vuzov. Matem., 2023, no. 12, 3–16  mathnet  crossref
    2. D. K. Durdiev, Zh. Zh. Zhumaev, “Obratnaya zadacha opredeleniya yadra integro-differentsialnogo uravneniya drobnoi diffuzii v ogranichennoi oblasti”, Izv. vuzov. Matem., 2023, no. 10, 22–35  mathnet  crossref
    3. D. K. Durdiev, J. J. Jumaev, “Inverse Problem of Determining the Kernel of Integro-Differential Fractional Diffusion Equation in Bounded Domain”, Russ Math., 67:10 (2023), 1  crossref
    4. D. K. Durdiev, A. A. Boltaev, A. A. Rahmonov, “Convolution Kernel Determination Problem in the Third Order Moore–Gibson–Thompson Equation”, Russ Math., 67:12 (2023), 1  crossref
    5. Vasily A. Dedok, Tatyana V. Bugueva, 2020 Science and Artificial Intelligence conference (S.A.I.ence), 2020, 9  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:43
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