Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we solve two types of fractional integrals. Complex power of fractional analytic function, product rule for fractional derivatives and a new multiplication of fractional analytic functions play important roles in this paper. In fact, our results are generalizations of the results in traditional calculus.
Keywords: Jumarie type of R-L fractional calculus, fractional integrals, complex power of fractional analytic function, product rule, new multiplication.
Title: Research on Two Types of Fractional Integrals
Author: Chii-Huei Yu
International Journal of Electrical and Electronics Research
ISSN 2348-6988 (online)
Vol. 10, Issue 4, October 2022 - December 2022
Page No: 33-37
Research Publish Journals
Website: www.researchpublish.com
Published Date: 26-December-2022