RUS  ENG
Полная версия
ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2022, том 13, номер 1, страницы 19–31 (Mi emj429)

Эта публикация цитируется в 12 статьях

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

Аннотация: 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.

Ключевые слова и фразы: subdiffusion equation, Riemann-Liouville derivatives, inverse problem, determination of the fractional derivative's order and source function, Fourier method.

MSC: 35R11, 34K29

Поступила в редакцию: 24.09.2020

Язык публикации: английский

DOI: 10.32523/2077-9879-2022-13-1-19-31



Реферативные базы данных:


© МИАН, 2024