Fractional Derivatives of Four Types of Matrix Fractional Functions

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, we obtain arbitrary order fractional derivative of four types of matrix fractional functions by using some methods. Matrix fractional Euler’s formula and matrix fractional DeMoivre’s formula play important roles in this article. Moreover, our results are generalizations of ordinary calculus results. Keywords: Jumarie type of R-L fractional derivative, new multiplication, fractional analytic functions, matrix fractional functions. Title: Fractional Derivatives of Four Types of Matrix Fractional Functions Author: Chii-Huei Yu International Journal of Mathematics and Physical Sciences Research ISSN 2348-5736 (Online) Vol. 12, Issue 2, October 2024 - March 2025 Page No: 25-31 Research Publish Journals Website: www.researchpublish.com Published Date: 21-November-2024 DOI: https://doi.org/10.5281/zenodo.14199158 Paper Download Link (Source) https://www.researchpublish.com/papers/fractional-derivatives-of-four-types-of-matrix-fractional-functions