Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, we obtain arbitrary order fractional derivative of two matrix fractional functions. Fractional binomial theorem plays an important role in this article. In fact, our results are generalizations of ordinary calculus results.
Keywords: Jumarie’s modified R-L fractional derivative, new multiplication, fractional analytic functions, matrix fractional functions, fractional binomial theorem.
Title: Evaluating Fractional Derivatives of Two Matrix Fractional Functions Based on Jumarie Type of Riemann-Liouville Fractional Derivative
Author: Chii-Huei Yu
International Journal of Engineering Research and Reviews
ISSN 2348-697X (Online)
Vol. 12, Issue 4, October 2024 - December 2024
Page No: 39-43
Research Publish Journals
Website: www.researchpublish.com
Published Date: 28-October-2024