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