English

A Perron-type theorem for fractional linear differential systems

Classical Analysis and ODEs 2018-08-24 v2

Abstract

We give a necessary and sufficient condition for a system of linear inhomogeneous fractional differential equations to have at least one bounded solution. We also obtain an explicit description for the set of all bounded (or decay) solutions for these systems.

Keywords

Cite

@article{arxiv.1602.04695,
  title  = {A Perron-type theorem for fractional linear differential systems},
  author = {N. D. Cong and T. S. Doan and H. T. Tuan},
  journal= {arXiv preprint arXiv:1602.04695},
  year   = {2018}
}

Comments

20 pages

R2 v1 2026-06-22T12:50:26.803Z