Nabla Fractional Derivative and Fractional Integral on Time Scales
arXiv:2112.13083 · doi:10.3390/axioms10040317
Abstract
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann-Liouville sense. We also introduce the nabla fractional derivative in Grünwald-Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
This is a preprint of a paper whose final and definite form is published Open Access in Axioms at [https://doi.org/10.3390/axioms10040317]. Please cite this paper as follows: Gogoi, B.; Saha, U.K.; Hazarika, B.; Torres, D.F.M.; Ahmad, H. Nabla Fractional Derivative and Fractional Integral on Time Scales. Axioms 10 (2021), no. 4, Art. 317, 15 pp
References in corpus (3)
- A Fractional Calculus on Arbitrary Time Scales: Fractional Differentiation and Fractional Integration
- Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform
- Cauchy's formula on nonempty closed sets and a new notion of Riemann--Liouville fractional integral on time scales