Determination of Fractional Order and Source Term in Subdiffusion Equations

Ravshan Ashurov; Yusuf Fayziev

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

Determination of Fractional Order and Source Term in Subdiffusion Equations

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Authors

Ravshan Ashurov
Yusuf Fayziev

DOI:

https://doi.org/10.32523/2077-9879-2022-13-1-19-31

Keywords:

subdiffusion equation, Riemann-Liouville derivatives, inverse problem, determination of the fractional derivative's order and source function, Fourier method

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.

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Published

2022-03-30

How to Cite

Ashurov, R., & Fayziev, Y. (2022). Determination of Fractional Order and Source Term in Subdiffusion Equations. Eurasian Mathematical Journal, 13(1), 19–31. https://doi.org/10.32523/2077-9879-2022-13-1-19-31