Study of Four Types of Matrix Fractional Integrals

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional integral and a new multiplication of fractional analytic functions, we study four types of matrix fractional integrals. Using some methods, we can evaluate these four types of matrix fractional integrals. Moreover, our results are generalizations of classical calculus results. Keywords: Jumarie’s modified R-L fractional integral, new multiplication, fractional analytic functions, matrix fractional integrals. Title: Study of Four Types of Matrix Fractional Integrals Author: Chii-Huei Yu International Journal of Novel Research in Interdisciplinary Studies ISSN 2394-9716 Vol. 11, Issue 6, November 2024 - December 2024 Page No: 25-31 Novelty Journals Website: www.noveltyjournals.com Published Date: 13-November-2024 DOI: https://doi.org/10.5281/zenodo.14135998 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/Study%20of%20Four%20Types-13112024-3.pdf

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-11-13
DOI
https://doi.org/10.5281/zenodo.14135997
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Study of Four Types of Matrix Fractional Integrals

Zenodo (CERN European Organization for Nuclear Research)
Fractional Differential Equations Solutions
article

Study of Four Types of Matrix Fractional Integrals

article en

Abstract

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional integral and a new multiplication of fractional analytic functions, we study four types of matrix fractional integrals. Using some methods, we can evaluate these four types of matrix fractional integrals. Moreover, our results are generalizations of classical calculus results. Keywords: Jumarie’s modified R-L fractional integral, new multiplication, fractional analytic functions, matrix fractional integrals. Title: Study of Four Types of Matrix Fractional Integrals Author: Chii-Huei Yu International Journal of Novel Research in Interdisciplinary Studies ISSN 2394-9716 Vol. 11, Issue 6, November 2024 - December 2024 Page No: 25-31 Novelty Journals Website: www.noveltyjournals.com Published Date: 13-November-2024 DOI: https://doi.org/10.5281/zenodo.14135998 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/Study%20of%20Four%20Types-13112024-3.pdf

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 65%
Fractional Differential Equations Solutions
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.