Discrete fractional Calculus and Inequalities
Classical Analysis and ODEs
2009-11-18 v1
Abstract
Here we define a Caputo like discrete fractional difference and we compare it to the earlier defined Riemann-Liouville fractional discrete analog. Then we produce discrete fractional Taylor formulae for the first time, and we estimate their remainders. Finally, we derive related discrete fractional Ostrowski, Poincare and Sobolev type inequalities.
Keywords
Cite
@article{arxiv.0911.3370,
title = {Discrete fractional Calculus and Inequalities},
author = {George A. Anastassiou},
journal= {arXiv preprint arXiv:0911.3370},
year = {2009}
}