Asymptotics of Eigenvalues for the Differential Operators of Fractional Order

M. V. Kukushkin

Published 2018-04-28Version 1

In this paper we deal with operators of fractional differential in a variety of senses. Particulary we consider such as Marchaud, Riemann-Liuvill, Caputo, Veyl. We will show that some functional properties of Kipriyanov operator is invariant relative reduction one to the previous operators on the compact. The cases corresponding to the operators Riemann-Liouvill and Weil on the axis investigate separately. We obtain the asymptotic formula for the absolute value eigenvalues of differential operators of fractional order. Finally we conduct a classification of operators fractional order by belonging own resolvent to the Shetten class.