English

On a generalization of fractional Langevin equation

Analysis of PDEs 2020-04-08 v1

Abstract

In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.

Keywords

Cite

@article{arxiv.2004.03542,
  title  = {On a generalization of fractional Langevin equation},
  author = {Saeed Kosari and Milad Yadollahzadeh and Zehui Shao and Yongsheng Rao},
  journal= {arXiv preprint arXiv:2004.03542},
  year   = {2020}
}