Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, we find arbitrary order fractional derivative of two fractional functions. Fractional binomial theorem plays an important role in this study. In fact, our results are generalizations of the results in classical calculus.
Keywords: Jumarie type of R-L fractional derivative, new multiplication, fractional analytic functions, fractional binomial theorem.
Title: Fractional Derivatives of Some Fractional Functions
Author: Chii-Huei Yu
International Journal of Mechanical and Industrial Technology
ISSN 2348-7593 (Online)
Vol. 12, Issue 2, October 2024 - March 2025
Page No: 1-5
Research Publish Journals
Website: www.researchpublish.com
Published Date: 22-October-2024
