INVESTIGATION OF SOLUTIONS TO BOUNDARY VALUE AND STEKLOV PROBLEMS FOR AN ORDINARY DIFFERENTIAL EQUATION WITH FRACTIONAL-ORDER DERIVATIVES
Abstract
In the present work, boundary and Steklov problems are considered for a linear ordinary differential equation with constant coefficients and fractional-order derivatives.An analytical expression is obtained for the classical solution of the boundary value problem.The general solution of the equation is defined (expressed) in the form of the Mittag-Leffler function.For the Steklov problem, the eigenvalue and eigenfunction are determined..
Fields of Study & Subjects
Fractional Differential Equations Solutions
Differential Equations and Boundary Problems
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Proceedings of the Institute of Applied Mathematics
- Publication date
- 18 February 2026
- Language
- EN