Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we study some type of improper fractional integral. We can obtain the exact solution of this improper fractional integral by using differentiation under fractional integral sign and integration by parts for fractional calculus. In fact, our result is a generalization of classical calculus result.
Keywords: Jumarie’s modified R-L fractional calculus, new multiplication, fractional analytic functions, improper fractional integral, differentiation under fractional integral sign, integration by parts for fractional calculus.
Title: Solving Some Type of Improper Fractional Integral Using Differentiation under Fractional Integral Sign and Integration by Parts for Fractional Calculus
Author: Chii-Huei Yu, Kuang-Wu Yang
International Journal of Engineering Research and Reviews
ISSN 2348-697X (Online)
Vol. 12, Issue 4, October 2024 - December 2024
Page No: 34-38
Research Publish Journals
Website: www.researchpublish.com
Published Date: 16-October-2024
