Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, a type of fractional power series is studied. We can find the exact solution of this fractional power series by using some methods. In fact, our result is a generalization of classical calculus result. Moreover, some examples are provided to illustrate our result. In fact, our result is a generalization of traditional calculus result.
Keywords: Jumarie’s modified R-L fractional derivative, new multiplication, fractional analytic functions, exact solution, fractional power series.
Title: A Type of Fractional Power Series
Author: Chii-Huei Yu
International Journal of Engineering Research and Reviews
ISSN 2348-697X (Online)
Vol. 11, Issue 3, July 2023 - September 2023
Page No: 1-5
Research Publish Journals
Website: www.researchpublish.com
Published Date: 03-July-2023