S. V. Erokhin

Boundary Value Problems for Differential Equations of Fractional Order. Approximation of Inverse Operators by Matrices

abstract:
We investigate a Cauchy problem and a boundary value problem for a fractional order differential operator, where the order of the operator is within the range between 2 and 3. Relationship is established between the eigenvalues of such operators and zeroes of functions of Mittag-Leffler type. Approximation matrices are also investigated.

Mathematics Subject Classification: 34K

Key words and phrases: Fractional derivative, differential operator, boundary value problem, oscillation matrices