DOAJ Open Access 2022

On the nonlocal problems in time for subdiffusion equations with the Riemann-Liouville derivatives

R.R. Ashurov Yu.E. Fayziev

Abstrak

Initial boundary value problems with a time-nonlocal condition for a subdiffusion equation with the Riemann-Liouville time-fractional derivatives are considered. The elliptical part of the equation is the Laplace operator, defined in an arbitrary N−dimensional domain Ω with a sufficiently smooth boundary ∂Ω. The existence and uniqueness of the solution to the considered problems are proved. Inverse problems are studied for determining the right-hand side of the equation and a function in a time-nonlocal condition. The main research tool is the Fourier method, so the obtained results can be extended to subdiffusion equations with a more general elliptic operator.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

R.R. Ashurov

Yu.E. Fayziev

Format Sitasi

APA MLA BibTeX

Ashurov, R., Fayziev, Y. (2022). On the nonlocal problems in time for subdiffusion equations with the Riemann-Liouville derivatives. https://doi.org/10.31489/2022M2/18-37

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022M2/18-37
Akses: Open Access ✓