fractional differential equation, fractional differentiation operator, matrix eigenvalues, boundary value problem eigenvalues

In this paper, numerical methods are used to obtain estimates for the first eigenvalue of the boundary value problem of a model fractional differential equation describing oscillations of a fractal oscillator. Two empirical formulas are presented for the maximum eigenvalue of the model under consideration: as a function of the equation parameter and in terms of the maximum and minimum sum of row elements of a matrix of a special form. There is an error estimate. 

Kirianova Lyudmila Vladimirovna,

Candidate of Physical and Mathematical Sciences, Associate Professor of the Department of Higher Mathematics, National Research Moscow State University of Civil Engineering, Moscow, Russia.