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 DOI: https://doi.org/10.5281/zenodo.8108428 Paper Download Link (Source) https://www.researchpublish.com/papers/a-type-of-fractional-power-series

International Journal of Engineering Research and Reviews, ISSN 2348-697X (Online), Research Publish Journals, Website: www.researchpublish.com