English

Generalization of the final-value theorem and its application in fractional differential systems

Classical Analysis and ODEs 2020-02-24 v1

Abstract

In this paper, we generalized the known Laplace-transform final-value theorem. From our conclusion, one can deduce the existing results in [1, 3, 12]. By using final value theorem, we give a new proof that Caputo fractional differential equations have no nonconstant periodic solution.

Keywords

Cite

@article{arxiv.2002.09178,
  title  = {Generalization of the final-value theorem and its application in fractional differential systems},
  author = {Yayun Wu},
  journal= {arXiv preprint arXiv:2002.09178},
  year   = {2020}
}