Solution of Linear Fractional Systems with Variable Coefficients
Optimization and Control
2020-07-02 v3
Abstract
The paper deals with the initial value problem for linear systems of FDEs with variable coefficients involving Riemann--Liouville and Caputo derivatives. The technique of the generalized Peano--Baker series is used to obtain the state-transition matrix. Explicit solutions are derived both in the homogeneous and inhomogeneous case. The theoretical results are supported by examples.
Cite
@article{arxiv.1905.10632,
title = {Solution of Linear Fractional Systems with Variable Coefficients},
author = {Ivan Matychyn and Viktoriia Onyshchenko},
journal= {arXiv preprint arXiv:1905.10632},
year = {2020}
}