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Abstract: This paper gives another representation of general fractional exponential function and fractional logarithmic function. In addition, we discuss some properties of them based on Jumarie type of Riemann-Liouville (R-L) fractional calculus. These properties are the same as those of classical exponential function and logarithmic function. The main methods used in this paper are the chain rule for fractional derivatives and a new multiplication of fractional analytic functions. Keywords: Representation, Fractional exponential function, Fractional logarithmic function, Jumarie type of R-L fractional calculus, Chain rule for fractional derivatives, New multiplication, Fractional analytic functions. Title: Another Representation of Fractional Exponential Function and Fractional Logarithmic Function Author: Chii-Huei Yu International Journal of Novel Research in Physics Chemistry & Mathematics ISSN 2394-9651 Vol. 9, Issue 2, May 2022 - August 2022 Page No: 17-22 Novelty Journals Website: www.noveltyjournals.com Published Date: 18-July-2022 DOI: https://doi.org/10.5281/zenodo.6856543 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/Another%20Representation-18072022-3.pdf

International Journal of Novel Research in Physics Chemistry & Mathematics, ISSN 2394-9651, Novelty Journals, Website: www.noveltyjournals.com