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Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, we can obtain arbitrary order fractional derivative of two types of matrix fractional functions by using some methods. In fact, 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: Study of the Fractional Differential Problem of Some Matrix Fractional Functions

Author: Chii-Huei Yu

International Journal of Recent Research in Physics and Chemical Sciences (IJRRPCS)

ISSN 2350-1030

Vol. 11, Issue 2, October 2024- March 2025

Page No: 7-12

Paper Publications

Website: www.paperpublications.org

Published Date: 15-November-2024

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 the exact solutions of two matrix fractional integrals. In fact, our results are generalizations of classical calculus results.

Keywords: Jumarie type of R-L fractional integral, new multiplication, fractional analytic functions, matrix fractional integral.

Title: Research on Matrix Fractional Integrals

Author: Chii-Huei Yu

International Journal of Recent Research in Physics and Chemical Sciences (IJRRPCS)

ISSN 2350-1030

Vol. 11, Issue 2, October 2024- March 2025

Page No: 1-6

Paper Publications

Website: www.paperpublications.org

Published Date: 25-October-2024