Abstract: In this paper, we use differentiation under fractional integral sign and integration by parts for fractional calculus to find the exact solution of some type of improper fractional integral. Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions play important roles in this paper. On the other hand, some examples are provided to illustrate our result. In fact, our result is a generalization of ordinary calculus result.
Keywords: Differentiation under fractional integral sign, integration by parts for fractional calculus, exact solution, improper fractional integral, Jumarie type of R-L fractional calculus, new multiplication, fractional analytic functions.
Title: Methods for Solving Some Type of Improper Fractional Integral
Author: Chii-Huei Yu
International Journal of Engineering Research and Reviews
ISSN 2348-697X (Online)
Vol. 11, Issue 2, April 2023 - June 2023
Page No: 14-18
Research Publish Journals
Website: www.researchpublish.com
Published Date: 02-May-2023
