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On a class of fractional non-selfadjoint operators associated with differential equations

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Abstract

We present a research method for non-selfadjoint integral operators associated with fractional differential equations. With the help of this method we, in particular, estimate eigen-functions and eigenvalues of the boundary-value problem for a fractional oscillatory equation.

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Authors and Affiliations

  1. Moscow State Academy of Municipal Services and Construction, ul. Srednyaya Kalitnikovskaya 30, Moscow, 109029, Russia

    T. S. Aleroev

  2. Moscow Technical University of Communications and Information Science, ul. Aviamotornaya 8a, Moscow, 111024, Russia

    Kh. T. Aleroeva

Authors
  1. T. S. Aleroev
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  2. Kh. T. Aleroeva
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Correspondence to T. S. Aleroev.

Additional information

Original Russian Text © T.S. Aleroev, Kh.T. Aleroeva, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 10, pp. 3–12.

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Aleroev, T.S., Aleroeva, K.T. On a class of fractional non-selfadjoint operators associated with differential equations. Russ Math. 58, 1–9 (2014). https://doi.org/10.3103/S1066369X14100016

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  • DOI: https://doi.org/10.3103/S1066369X14100016

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