Geodesic
On a~class of non-selfadjoint operators, corresponding to differential equations of fractional order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 3-12

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We present a research method for non-selfadjoint integral operators, associated with differential equations of fractional order, within the frameworks of non-selfadjoint approach. In particular, we obtain estimates for the eigenfunctions and eigenvalues of the boundary-value problem for the fractional oscillatory equation.
Keywords: function of Mittag-Leffler type, spectrum, eigenvalue, fractional derivative. 
@article{IVM_2014_10_a0,
     author = {T. S. Aleroev and Kh. T. Aleroeva},
     title = {On a~class of non-selfadjoint operators, corresponding to differential equations of fractional order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--12},
     publisher = {mathdoc},
     number = {10},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_10_a0/}
}
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T. S. Aleroev; Kh. T. Aleroeva. On a~class of non-selfadjoint operators, corresponding to differential equations of fractional order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 3-12. http://geodesic.mathdoc.fr/item/IVM_2014_10_a0/