Research on Some Fractional Integral Problems

Chii-Huei Yu

Abstract: In this paper, we solve two type of fractional integrals based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus. The main two methods used in this article are change of variables for fractional integral and integration by parts for fractional calculus. On the other hand, a new multiplication of fractional analytic functions plays an important role in this paper. And these two types of fractional integrals are generalizations of the integrals in traditional calculus.

Keywords: fractional integrals, Jumarie’s modified R-L fractional calculus, change of variables, integration by parts, new multiplication, fractional analytic functions.

Title: Research on Some Fractional Integral Problems

Author: Chii-Huei Yu

International Journal of Engineering Research and Reviews

ISSN 2348-697X (Online)

Vol. 10, Issue 3, July 2022 - September 2022

Page No: 24-28

Research Publish Journals

Website: www.researchpublish.com

Published Date: 29-August-2022

DOI: https://doi.org/10.5281/zenodo.7032499

Vol. 10, Issue 3, July 2022 - September 2022

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Research on Some Fractional Integral Problems by Chii-Huei Yu