R. R. Ashurov, Yu. E. Fayziev, “Determination of fractional order and source term in subdiffusion equations”, Eurasian Math. J., 2022, Volume 13, Number 1,Pages <nobr>19

This article is cited in 12 papers

Determination of fractional order and source term in subdiffusion equations

R. R. Ashurov^a, Yu. E. Fayziev^b

^a Institute of Mathematics, Uzbekistan Academy of Science, Student town 100174 Tashkent, Uzbekistan
^b Department of Mathematics National university of Uzbekistan, 100174 Tashkent, Uzbekistan

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.

MSC: 35R11, 34K29

Received: 24.09.2020

Language: English

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