A Study on Fractional L'Hospital's Rule

Chii-Huei Yu
2022 Zenodo  
Abstract: This paper studies the fractional L'Hospital's rule based on Jumarie type of Riemann-Liouville (R-L) fractional derivative. A new multiplication of fractional analytic functions plays an important role in this article. On the other hand, we provide some limit problems to illustrate the applications of fractional L'Hospital's rule. In fact, these results we obtained are generalizations of those in ordinary calculus. Keywords: Fractional L'Hospital's rule, Jumarie type of R-L fractional
more » ... derivative, New multiplication, Fractional analytic functions, Limit problems. Title: A Study on Fractional L'Hospital's Rule Author: Chii-Huei Yu International Journal of Novel Research in Physics Chemistry & Mathematics ISSN 2394-9651 Vol. 9, Issue 3, September 2022 - December 2022 Page No: 23-29 Novelty Journals Website: www.noveltyjournals.com Published Date: 15-October-2022 DOI: https://doi.org/10.5281/zenodo.7211813 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/A%20Study%20on%20Fractional%20L'Hospital's%20Rule-15102022-2.pdf
doi:10.5281/zenodo.7211812 fatcat:3lkmtccqqffh5l33e4mq5nhdr4