Abstract: Based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative, this paper studies an equivalent infinitesimal formula in fractional calculus. Fractional L’Hospital’s rule and a new multiplication of fractional analytic functions play important roles in this article. On the other hand, we give some examples to illustrate the applications of this formula. In fact, our results are generalizations of classical calculus results.
Keywords: Jumarie’s modified R-L fractional derivative, equivalent infinitesimal formula, fractional L’Hospital’s rule, new multiplication, fractional analytic functions.
Title: An Equivalent Infinitesimal Formula in Fractional Calculus and Its Applications
Author: Chii-Huei Yu
International Journal of Electrical and Electronics Research
ISSN 2348-6988 (online)
Vol. 11, Issue 3, July 2023 - September 2023
Page No: 1-7
Research Publish Journals
Website: www.researchpublish.com
Published Date: 03-July-2023
