Some useful inequalities for nabla tempered fractional calculus
Classical Analysis and ODEs
2022-12-09 v1
Abstract
This paper gives particular emphasis to the nabla tempered fractional calculus, which involves the multiplication of the rising function kernel with tempered functions, and provides a more flexible alternative with considerable promise for practical applications. Some remarkable inequalities for such nabla fractional calculus are developed and analyzed, which greatly enrich the mathematical theory of nabla tempered fractional calculus. Numerical results confirm the validity of the developed properties once again, which also reveals that the introduction of tempered function provides high value and huge potential.
Keywords
Cite
@article{arxiv.2212.04104,
title = {Some useful inequalities for nabla tempered fractional calculus},
author = {Yiheng Wei and Linlin Zhao and Kai Cao and Jinde Cao},
journal= {arXiv preprint arXiv:2212.04104},
year = {2022}
}