Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we evaluate some type of improper fractional integral. A new multiplication of fractional analytic functions plays an important role in this paper. The main methods we used are integration by parts for fractional calculus and fractional L’Hospital’s rule. At the same time, some examples are given to illustrate our result. In fact, our result is a generalization of the classical calculus result.
Keywords: Jumarie type of R-L fractional calculus, improper fractional integral, new multiplication, fractional analytic functions, integration by parts, fractional L’Hospital’s rule.
Title: Some Type of Improper Fractional Integral
Author: Chii-Huei Yu
International Journal of Computer Science and Information Technology Research
ISSN 2348-1196 (print), ISSN 2348-120X (online)
Vol. 10, Issue 4, October 2022 - December 2022
Page No: 53-57
Research Publish Journals
Website: www.researchpublish.com
Published Date: 23-December-2022
