On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order

M. Aleroev; T. Aleroev; M. Kirane; Y. F. Tang

doi:10.1016/j.amc.2015.06.076

On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order

M. Aleroev, T. Aleroev, M. Kirane, Y. F. Tang

Mathematics

State University of the Ministry of Finance of the Russian Federation, Moscow State Academy of Municipal Services and Construction Moscow
Chinese Academy of Sciences

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, we consider the matrix generated by boundary value problems for differential equations of fractional order. In particular, we show that the eigenvalues of these matrices are simple and real.

Original language	British English
Pages (from-to)	151-163
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	268
DOIs	https://doi.org/10.1016/j.amc.2015.06.076
State	Published - 13 Jul 2015

Keywords

eigenvalues
eigenvectors
operator of fractional differentiation
persymmetric matrix

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10.1016/j.amc.2015.06.076

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title = "On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order",

abstract = "In this paper, we consider the matrix generated by boundary value problems for differential equations of fractional order. In particular, we show that the eigenvalues of these matrices are simple and real.",

keywords = "eigenvalues, eigenvectors, operator of fractional differentiation, persymmetric matrix",

author = "M. Aleroev and T. Aleroev and M. Kirane and Tang, {Y. F.}",

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AU - Aleroev, M.

AU - Aleroev, T.

AU - Kirane, M.

AU - Tang, Y. F.

PY - 2015/7/13

Y1 - 2015/7/13

N2 - In this paper, we consider the matrix generated by boundary value problems for differential equations of fractional order. In particular, we show that the eigenvalues of these matrices are simple and real.

AB - In this paper, we consider the matrix generated by boundary value problems for differential equations of fractional order. In particular, we show that the eigenvalues of these matrices are simple and real.

KW - eigenvalues

KW - eigenvectors

KW - operator of fractional differentiation

KW - persymmetric matrix

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DO - 10.1016/j.amc.2015.06.076

M3 - Article

AN - SCOPUS:84936971962

SN - 0096-3003

VL - 268

SP - 151

EP - 163

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order

Abstract

Keywords

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