Asymptotic behavior of solutions of linear multi-order fractional differential equation systems
Classical Analysis and ODEs
2018-08-24 v1
Abstract
In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems. Next, a representation of solutions of homogeneous linear multi-order fractional differential equation systems in series form is provided. Finally, we give characteristics regarding the asymptotic behavior of solutions to some classes of linear multi-order fractional differential equation systems.
Keywords
Cite
@article{arxiv.1708.08131,
title = {Asymptotic behavior of solutions of linear multi-order fractional differential equation systems},
author = {Kai Diethelm and Stefan Siegmund and H. T. Tuan},
journal= {arXiv preprint arXiv:1708.08131},
year = {2018}
}
Comments
24 pages