On fractional derivatives with exponential kernel and their discrete versions
Dynamical Systems
2017-09-13 v1
Abstract
In this manuscript we define the right fractional derivative and its corresponding right fractional integral with exponential kernel. Then, we provide the integration by parts formula and we use operator to confirm our results. The related Euler-Lagrange equations were obtained and one example is analyzed. Moreover, we formulate and discus the discrete counterparts of our results.
Keywords
Cite
@article{arxiv.1606.07958,
title = {On fractional derivatives with exponential kernel and their discrete versions},
author = {Thabet Abdeljawad and Dumitru Baleanu},
journal= {arXiv preprint arXiv:1606.07958},
year = {2017}
}