Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional integral and a new multiplication of fractional analytic functions, we obtain three types of matrix fractional integrals. The matrix fractional exponential function, matrix fractional cosine function, and matrix fractional sine function play important roles in this article. In fact, our results are generalizations of the results in classical calculus.
Keywords: Jumarie type of R-L fractional integral, new multiplication, fractional analytic functions, matrix fractional integrals, matrix fractional functions.
Title: Studying Three Types of Matrix Fractional Integrals
Author: Chii-Huei Yu
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
Vol. 12, Issue 4, October 2024 - December 2024
Page No: 35-39
Research Publish Journals
Website: www.researchpublish.com
Published Date: 29-October-2024
