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 partial derivative of two types of matrix two-variables fractional functions. Fractional binomial theorem plays an important role in this article. In fact, our results are generalizations of ordinary calculus results.
Keywords: Jumarie type of R-L fractional derivative, new multiplication, fractional analytic functions, fractional partial derivative, fractional binomial theorem.
Title: Fractional Partial Differential Problem of Some Matrix Two-Variables 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: 6-13
Research Publish Journals
Website: www.researchpublish.com
Published Date: 05-November-2024