Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we use reciprocal substitution method to find two improper fractional integrals. Change of variables for fractional integral and a new multiplication of fractional analytic functions play important roles in this paper. In fact, our results are generalizations of traditional calculus results.
Keywords: Jumarie type of R-L fractional calculus, reciprocal substitution method, improper fractional integrals, change of variables for fractional integral, new multiplication, fractional analytic functions.
Title: Application of Reciprocal Substitution Method in Solving Some Improper Fractional Integrals
Author: Chii-Huei Yu
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 11, Issue 1, April 2023 - September 2023
Page No: 1-5
Research Publish Journals
Website: www.researchpublish.com
Published Date: 01-May-2023
