Research on Fractional Derivatives of Some Matrix Fractional Functions

Abstract: In this paper, based on Jumarie type of R-L fractional derivative, we find arbitrary order fractional derivative of two types of matrix fractional functions. Fractional Leibniz rule and a new multiplication of fractional analytic functions play important roles in this article. Moreover, our results are generalizations of ordinary calculus results. Keywords: Jumarie type of R-L fractional derivative, matrix fractional functions, fractional Leibniz rule, new multiplication, fractional analytic functions. Title: Research on Fractional Derivatives of Some Matrix Fractional Functions Author: Chii-Huei Yu International Journal of Electrical and Electronics Research ISSN 2348-6988 (online) Vol. 12, Issue 4, October 2024 - December 2024 Page No: 11-15 Research Publish Journals Website: www.researchpublish.com Published Date: 18-November-2024 DOI: https://doi.org/10.5281/zenodo.14177724 Paper Download Link (Source) https://www.researchpublish.com/papers/research-on-fractional-derivatives-of-some-matrix-fractional-functions