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Eurasian Mathematical Journal, 2022, Volume 13, Number 1, Pages 19–31
DOI: https://doi.org/10.32523/2077-9879-2022-13-1-19-31 (Mi emj429) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Determination of fractional order and source term in subdiffusion equations

R. R. Ashurova, Yu. E. Fayzievb

a Institute of Mathematics, Uzbekistan Academy of Science, Student town 100174 Tashkent, Uzbekistan
b Department of Mathematics National university of Uzbekistan, 100174 Tashkent, Uzbekistan
Full-text PDF (395 kB) Citations (12)
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DOI: https://doi.org/10.32523/2077-9879-2022-13-1-19-31
Abstract: In this paper, we consider the inverse problem for simultaneously determining the order of the Riemann-Liouville time fractional derivative and the source function in subdiffusion equations. The classical Fourier method is used to prove uniqueness and existence theorems for this inverse problem.
Keywords and phrases: subdiffusion equation, Riemann-Liouville derivatives, inverse problem, determination of the fractional derivative's order and source function, Fourier method.
Funding agency Grant number
Academy of Sciences of the Republic of Uzbekistan F-FA-2021-424
The authors acknowledge financial support from the Ministry of Innovative Development of the Republic of Uzbekistan, Grant No F-FA-2021-424.
Received: 24.09.2020
Bibliographic databases:
Document Type: Article
MSC: 35R11, 34K29
Language: English
Citation: R. R. Ashurov, Yu. E. Fayziev, “Determination of fractional order and source term in subdiffusion equations”, Eurasian Math. J., 13:1 (2022), 19–31
Citation in format AMSBIB
\Bibitem{AshFay22}
\by R.~R.~Ashurov, Yu.~E.~Fayziev
\paper Determination of fractional order and source term in subdiffusion equations
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 1
\pages 19--31
\mathnet{http://mi.mathnet.ru/emj429}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-1-19-31}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4407202}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129926031}
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    • This publication is cited in the following 12 articles:
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