English

On more general forms of proportional fractional operators

General Mathematics 2019-11-21 v1

Abstract

In this article, we propose new proportional fractional operators generated from local proportional derivatives of a function with respect to another function. We present some properties of these fractional operators which can be also called proportional fractional operators of a function with respect to another function or proportional fractional operators with dependence on a kernel function.

Keywords

Cite

@article{arxiv.1911.08899,
  title  = {On more general forms of proportional fractional operators},
  author = {Fahd Jarad and Manar A. Alqudah and Thabet Abdeljawad},
  journal= {arXiv preprint arXiv:1911.08899},
  year   = {2019}
}

Comments

14 pages