Abstract: In this paper, the fractional integration problem of fractional rational functions is studied based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions. The main methods we used are the chain rule for fractional derivatives and the partial fraction method. On the other hand, we give some examples to illustrate how to calculate fractional integrals of some fractional rational functions. In fact, these results are extensions of the results in traditional calculus.
Keywords: Fractional rational functions, Jumarie’s modified R-L fractional calculus, New multiplication, Fractional analytic functions, Chain rule, Partial fraction method.
Title: Evaluating the Fractional Integrals of Some Fractional Rational Functions
Author: Chii-Huei Yu
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 10, Issue 1, April 2022 - September 2022
Page No: 14-18
Research Publish Journals
Website: www.researchpublish.com
Published Date: 23-May-2022
