English

Mittag-Leffler Dichotomy and Roughness of Conformable Fractional Differential Equations

Dynamical Systems 2023-03-21 v1

Abstract

The solutions of traditional fractional differential equations neither satisfy group property nor generate dynamical systems, so the study on hyperbolicity is in blank. Relying on the new proposed conformable fractional derivative, we investigate dichotomy of conformable fractional equations, including structure of solutions of linear systems, Mittag-Leffler dichotomy and stability, roughness and nonuniform dichotomy.

Keywords

Cite

@article{arxiv.2303.11023,
  title  = {Mittag-Leffler Dichotomy and Roughness of Conformable Fractional Differential Equations},
  author = {Baishun Wang and Jun Zhou},
  journal= {arXiv preprint arXiv:2303.11023},
  year   = {2023}
}