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

Author

Listed:
  • Tatiana Matseevich

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

  • Temirkhan Aleroev

    (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.

Suggested Citation

  • Tatiana Matseevich & Temirkhan Aleroev, 2023. "Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus," Mathematics, MDPI, vol. 11(20), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4327-:d:1261696
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