Boundary value problem for a degenerate equation with a Riemann-Liouville operator

被引：1

作者：

Irgashev, Bakhrom Yu. ^{[1
,2
]}

机构：

[1] Namangan Engn Construct Inst, Namangan, Uzbekistan

[2] Acad Sci Uzbek, Inst Math, Tashkent, Uzbekistan

来源：

NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2023年 / 14卷 / 05期

关键词：

high order equation; initial-boundary value problem; fractional derivative in the sense of Riemann- Liouville; eigenvalue; eigenfunction; Kilbas-Saigo function; series; convergence; existence; uniqueness; DIFFERENTIAL-EQUATIONS;

D O I：

10.17586/2220-8054-2023-14-5-511-517

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

In the article, the uniqueness and solvability of one boundary value problem for a high-order equation with two lines of degeneracy with a fractional Riemann-Liouville derivative in a rectangular domain is studied by the Fourier method. Sufficient conditions for the well-posedness of the problem posed are obtained.

引用

页码：511 / 517

页数：7

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