Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain

被引：3

作者：

Durdiev, D. K. ^{[1
,2
]}

机构：

[1] Acad Sci Uzbek, Bukhara Branch, Inst Math, 11 Muhammad Igbol St, Bukhara 705018, Uzbekistan

[2] Bukhara State Univ, Dept Differential Equat, 11 Muhammad Igbol St, Bukhara 705018, Uzbekistan

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2022年 / 26卷 / 02期

关键词：

inverse problem; equation of mixed type; Fourier-Bessel series; Mittag-Leffler function; uniqueness and existence; COEFFICIENT;

D O I：

10.14498/vsgtu1921

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This article is devoted to the study of an inverse source problem for a mixed type equation with a fractional diffusion equation in the parabolic part and a wave equation in the hyperbolic part of a cylindrical domain. The solution is obtained in the form of Fourier-Bessel series expansion using an orthogonal set of Bessel functions. The theorems of uniqueness and existence of a solution are proved.

引用

页码：355 / 367

页数：13

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