Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral. Differentiation under fractional integral sign and a new multiplication of fractional analytic functions play important roles in this paper. Moreover, some examples are given to illustrate our main result. In fact, our result is a generalization of ordinary calculus result.
Keywords: Jumarie type of R-L fractional calculus, improper fractional integral, differentiation under fractional integral sign, new multiplication, fractional analytic functions.
Title: Solution of Some Type of Improper Fractional Integral
Author: Chii-Huei Yu
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
Vol. 11, Issue 1, January 2023 - March 2023
Page No: 11-16
Research Publish Journals
Website: www.researchpublish.com
Published Date: 14-January-2023
