DOAJ Open Access 2022

Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators

M.O. Mamchuev

Abstrak

A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the system have complex eigenvalues. Existence and uniqueness theorems for the solution to the boundary value problem under study are proved. The solution is constructed explicitly in terms of the Wright function of the matrix argument.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (1)

M.O. Mamchuev

Format Sitasi

APA MLA BibTeX

Mamchuev, M. (2022). Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators. https://doi.org/10.31489/2022m2/143-160

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022m2/143-160
Akses: Open Access ✓