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A note about the linearized stability of a class of nonlinear fractional differential systems

Dynamical Systems 2020-07-30 v2

Abstract

In this paper, we discuss on the linearized stability of the trivial solution for a class of nonlinear Caputo fractional differential systems of order α(1,2)\alpha\in(1,2). We show that some recent existing results in this direction are wrong. To complete the literature we also give a criterion to test the asymptotic stability of the trivial solution of this system.

Keywords

Cite

@article{arxiv.1608.07906,
  title  = {A note about the linearized stability of a class of nonlinear fractional differential systems},
  author = {H. T. Tuan},
  journal= {arXiv preprint arXiv:1608.07906},
  year   = {2020}
}

Comments

This paper contains some errors and we need to improve it