Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order

被引：0
|
作者：
Adil, N.
Berdyshev, A. S. [1 ]
机构：
[1] Abai Kazakh Natl Pedag Univ, Alma Ata, Kazakhstan
来源：
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2023年 / 110卷 / 02期
关键词：
diffusion-wave equations; fractional order equations; boundary value problems; strong solution; Volterra property; eigenvalue; BOUNDARY-VALUE PROBLEM; MIXED-TYPE EQUATION; ROOT FUNCTIONS; SYSTEM; SOLVABILITY;
D O I：
10.31489/2023M2/4-20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper investigates the issues of solvability and spectral properties of local and nonlocal problems for the fractional order diffusion-wave equation. The regular and strong solvability to problems stated in the domains, both with characteristic and non-characteristic boundaries are proved. Unambiguous solvability is established and theorems on the existence of eigenvalues or the Volterra property of the problems under consideration are proved.
引用
收藏
页码：4 / 20
页数：17
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