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On One Class of Operators Associated with Differential Equations of Fractional Order

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Abstract

We carry out spectral analysis of one class of integral operators associated with fractional order differential equations applicable in mechanics. We establish connection between the eigenvalues of these operators and the zeros of Mittag-Leffler type functions. We give sufficient conditions for complete nonselfadjointness.

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References

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Authors and Affiliations

  1. Moscow Academy of Finance and Law, Moscow, Russia

    T. S. Aleroev

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  1. T. S. Aleroev
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Original Russian Text Copyright © 2005 Aleroev T. S.

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 1201–1207, November–December, 2005.

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Aleroev, T.S. On One Class of Operators Associated with Differential Equations of Fractional Order. Sib Math J 46, 963–968 (2005). https://doi.org/10.1007/s11202-005-0093-z

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  • DOI: https://doi.org/10.1007/s11202-005-0093-z

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