Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral. Change of variable for fractional calculus, integration by parts for fractional calculus, fractional L’Hospital’s rule, and a new multiplication of fractional analytic functions play important roles in this article. In fact, our result is a generalization of the traditional calculus result.
Keywords: Jumarie’s modified R-L fractional calculus, improper fractional integral, change of variable, integration by parts, fractional L’Hospital’s rule, new multiplication, fractional analytic functions.
Title: Evaluating an Improper Fractional Integral Based on Jumarie’s Modified Riemann-Liouville Fractional Calculus
Author: Chii-Huei Yu
International Journal of Computer Science and Information Technology Research
ISSN 2348-1196 (print), ISSN 2348-120X (online)
Vol. 11, Issue 1, January 2023 - March 2023
Page No: 22-27
Research Publish Journals
Website: www.researchpublish.com
Published Date: 19-January-2023
