T. S. Aleroev, Kh. T. Aleroeva, “On a class of non-selfadjoint operators, corresponding to differential equations of fractional order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 10,Pages <nobr>3

This article is cited in 8 papers

On a class of non-selfadjoint operators, corresponding to differential equations of fractional order

T. S. Aleroev^a, Kh. T. Aleroeva^b

^a Chair of Higher Mathematics, Moscow State Academy of a Municipal Services and Construction, 30 Srednyaya Kalitnikovskaya str., Moscow, 109029 Russia
^b Chair of Theory of Probability and Applied Mathematics, Moscow Technical University of Communications and Information Science, 8a Aviamotornaya str., Moscow, 111024 Russia

Abstract: 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.

UDC: 517.927

Received: 04.04.2013