English

Riemann-Liouville Fractional Cosine Functions

Functional Analysis 2015-05-07 v1

Abstract

In this paper, a new notion, named Riemann-Liouville fractional cosine function is presented. It is proved that a Riemann-Liouville α\alpha-order fractional cosine function is equivalent to Riemann-Liouville α\alpha-order fractional resolvents introduced in [Z.D. Mei, J.G. Peng, Y. Zhang, Math. Nachr. 288, No. 7, 784-797 (2015)].

Keywords

Cite

@article{arxiv.1505.01388,
  title  = {Riemann-Liouville Fractional Cosine Functions},
  author = {Zhan-Dong Mei and Ji-Gen Peng},
  journal= {arXiv preprint arXiv:1505.01388},
  year   = {2015}
}