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On One Class of Operators Associated with Differential Equations of Fractional Order |
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| Authors: | T S Aleroev |
| Institution: | (1) Moscow Academy of Finance and Law, Moscow, Russia |
| 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. |
| Keywords: | Mittag-Leffler type function completely nonselfadjoint operator nonnegative kernel eigenfunctions eigenvalues operator of fractional differentiation |
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