DOAJ Open Access 2022

Boundary value problem for fractional diffusion equation in a curvilinear angle domain

A.V. Pskhu M.I. Ramazanov N.K. Gulmanov S.A. Iskakov

Abstrak

We consider a boundary value problem for the fractional diffusion equation in an angle domain with a curvilinear boundary. Existence and uniqueness theorems for solutions are proved. It is shown that Holder continuity of the curvilinear boundary ensures the existence of solutions. The uniqueness is proved in the class of functions that vanish at infinity with a power weight. The solution to the problem is constructed explicitly in terms of the solution of the Volterra integral equation.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (4)

A.V. Pskhu

M.I. Ramazanov

N.K. Gulmanov

S.A. Iskakov

Format Sitasi

APA MLA BibTeX

Pskhu, A., Ramazanov, M., Gulmanov, N., Iskakov, S. (2022). Boundary value problem for fractional diffusion equation in a curvilinear angle domain. https://doi.org/10.31489/2022m1/83-95

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022m1/83-95
Akses: Open Access ✓