Fractional Partial Differential Problem of Some Matrix Two-Variables Fractional Functions

Chii-Huei Yu

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

DOI: https://doi.org/10.5281/zenodo.14039419

Vol. 12, Issue 2, October 2024 - March 2025

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Fractional Partial Differential Problem of Some Matrix Two-Variables Fractional Functions by Chii-Huei Yu