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On one class of nonself-adjoint operators associated with differential equations of fractional order

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Abstract

A method for studying the nonself-adjoint integral operators associated with differential equations of fractional order is presented. Within this method, in particular, some estimates for the eigenfunctions and eigenvalues of a boundary-value problem for a fractional oscillatory equation are obtained.

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Authors and Affiliations

  1. National Research University MSBU, Moscow, Russia

    Temirkhan S. Aleroev

  2. Moscow Technical University of Communication and Informatics, Moscow, Russia

    Hedi T. Aleroeva

Authors
  1. Temirkhan S. Aleroev
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  2. Hedi T. Aleroeva
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Correspondence to Temirkhan S. Aleroev.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 12, No. 3, pp. 403–426, July–August, 2015.

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Aleroev, T.S., Aleroeva, H.T. On one class of nonself-adjoint operators associated with differential equations of fractional order. J Math Sci 214, 147–160 (2016). https://doi.org/10.1007/s10958-016-2765-6

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