Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus-Reference-Cited by-同舟云学术

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

Published:2023-10-17 Issue:20 Volume:11 Page:4327
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Matseevich Tatiana¹,Aleroev Temirkhan¹

Affiliation:

1. Department of Higher Mathematics, National Research Moscow State Civil Engineering University, 26, Yaroslavskoye Shosse, 129337 Moscow, Russia

Abstract

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/20/4327/pdf

Reference34 articles.

1. Aleroev, T. (2022). On a class of positive-definite operators and their application in fractional calculus. Axioms, 11.

2. Tricomi, F. (1985). Integral Equations, Dover Publications.

3. Nakhushev, A. (2003). Fractional Calculus and Its Application, FIZMATLIT.

4. Gohberg, I.C., and Krein, M.G. (2004). Theory and Applications of Volterra Operators in Hilbert Space (Translations of Mathematical Monographs), American Mathematical Society. Reprinted Edition.

5. On the degrees of a bounded dissipative operator;Matsaev;Ukr. Math. J.,1962

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