Study of Two Matrix Fractional Integrals by Using Differentiation under Fractional Integral Sign

Chii-Huei Yu

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional integral, we find the exact solutions of two matrix fractional integrals. Differentiation under fractional integral sign and a new multiplication of fractional analytic functions play important roles in this article. In fact, our results are generalizations of classical calculus results. 

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

Title: Study of Two Matrix Fractional Integrals by Using Differentiation under Fractional Integral Sign

Author: Chii-Huei Yu

International Journal of Civil and Structural Engineering Research  

ISSN 2348-7607 (Online)

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

Page No: 24-30

Research Publish Journals

Website: www.researchpublish.com

Published Date: 05-November-2024

DOI: https://doi.org/10.5281/zenodo.14039724

Paper Download Link (Source)

https://www.researchpublish.com/papers/study-of-two-matrix-fractional-integrals-by-using-differentiation-under-fractional-integral-sign

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

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Study of Two Matrix Fractional Integrals by Using Differentiation under Fractional Integral Sign by Chii-Huei Yu