On a Class of Positive Definite Operators and Their Application in Fractional Calculus

被引：1

作者：

Aleroev, Temirkhan ^{[1
]}

机构：

[1] Natl Res Moscow State Univ Civil Engn NRU MGSU, Moscow 129337, Russia

来源：

AXIOMS | 2022年 / 11卷 / 06期

关键词：

persymmetric matrix; eigenvalues; fractional derivative; positive definiteness; DIFFERENTIAL-EQUATIONS;

D O I：

10.3390/axioms11060272

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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. Approximation matrices are also investigated. In particular, the positive definiteness of the studied operators is shown, which makes it possible to select areas in the complex plane where there are no eigenvalues of these operators.

引用

页数：7

共 50 条

[1] Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus
Matseevich, Tatiana
Aleroev, Temirkhan
MATHEMATICS, 2023, 11 (20)
[2] Weighted Fractional Calculus: A General Class of Operators
Fernandez, Arran
Fahad, Hafiz Muhammad
FRACTAL AND FRACTIONAL, 2022, 6 (04)
[3] On a class of multiparameter perturbations of positive definite operators with fixed bounds on their spectrum
Malamud, SM
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 274 : 239 - 257
[4] Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator
Atshan, Waggas Galib
MATHEMATICA SLOVACA, 2010, 60 (01) : 75 - 82
[5] Multidimensional modified fractional calculus operators involving a general class of polynomials
Goyal, SP
Salim, TO
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1998, 108 (03): : 273 - 282
[6] Multidimensional modified fractional calculus operators involving a general class of polynomials
S. P. Goyal
Tariq O. Salim
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 1998, 108 : 273 - 282
[7] A CLASS OF DISTORTION-THEOREMS INVOLVING CERTAIN OPERATORS OF FRACTIONAL CALCULUS
SRIVASTAVA, HM
SAIGO, M
OWA, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 131 (02) : 412 - 420
[8] Factorisation of positive definite operators
Can Murat Dikmen
John B. Reade
Archiv der Mathematik, 2008, 91 : 339 - 343
[9] Positive definite indistinguishability operators
Recasens, J.
Tomas, M. S.
FUZZY SETS AND SYSTEMS, 2020, 384 (23-33) : 23 - 33
[10] Factorisation of positive definite operators
Dikmen, Can Murat
Reade, John B.
ARCHIV DER MATHEMATIK, 2008, 91 (04) : 339 - 343

← 1 2 3 4 5 →