Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

被引：0

作者：

Matseevich, Tatiana ^{[1
]}

Aleroev, Temirkhan ^{[1
]}

机构：

[1] Natl Res Moscow State Civil Engn Univ, Dept Higher Math, 26 Yaroslavskoye Shosse, Moscow 129337, Russia

来源：

MATHEMATICS | 2023年 / 11卷 / 20期

关键词：

fractional derivative; eigenvalue; eigenfunction; Mittag-Leffler function; spectral analysis; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; COMPLETENESS; EIGENFUNCTIONS; SYSTEM;

D O I：

10.3390/math11204327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order. In particular, we show the positive definiteness of studying operators, which makes it possible to select areas in the complex plane where there are no eigenvalues for these operators.

引用

页数：13

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