Chain rule formula and generalized mean value theorem for nabla fractional differentiation on time scale
Classical Analysis and ODEs
2025-01-16 v1
Abstract
The nabla fractional derivative, which was introduced by Gogoi et.al., generalized the ordinary derivative with non-integer order, and unifies the continuous and discrete analysis using backward operator. In this study, we proposed a modification of their definition. The main focus of this work is to introduce a chain rule formula and a generalized mean value theorem for nabla fractional differentiation on time scale. Results of this study will be applied in finding the sum of a finite series.
Cite
@article{arxiv.2501.08596,
title = {Chain rule formula and generalized mean value theorem for nabla fractional differentiation on time scale},
author = {Gaddiel L. Dorado and Mark Allien D. Roble},
journal= {arXiv preprint arXiv:2501.08596},
year = {2025}
}