Inverse coefficient problem for a fractional wave equation with time-nonlocal and integral overdetermination conditions

被引：1

作者：

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

Rahmonov, A. A. ^{[1
]}

机构：

[1] Acad Sci Uzbek, V I Romanovskiy Inst Math, Bukhara, Uzbekistan

[2] Bukhara State Univ, Bukhara, Uzbekistan

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 02期

关键词：

35R11; 35R30; DIFFUSION; TERM;

D O I：

10.1007/s40590-023-00520-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work considers an initial-boundary value and an inverse coefficient problem for a fractional wave equation. Firstly, we construct Green's function corresponding to the given non-local initial and boundary value problem, and we discuss the continuity of the weak solution for the direct problem. Then, using the properties of the direct problem we investigate the inverse problem. By using the fixed point theorem in suitable Sobolev space, the global existence and uniqueness results of this inverse problem are obtained.

引用

页数：33

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