Effect of the Riemann-Liouville fractional integral on unbounded variation points
Classical Analysis and ODEs
2020-08-26 v1
Abstract
This paper targets to study the effect of the Riemann-Liouville fractional integral operator on unbounded variation points of a continuous function. In particular, we show that the fractional integral preserves the bounded variation points of a function. We also prove that the fractional integral operator is a bounded linear operator on the class of bounded variation and continuous functions.
Keywords
Cite
@article{arxiv.2008.11113,
title = {Effect of the Riemann-Liouville fractional integral on unbounded variation points},
author = {S. Verma and Y. S. Liang},
journal= {arXiv preprint arXiv:2008.11113},
year = {2020}
}
Comments
5 pages