Published July 18, 2022 | Version v1
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Another Representation of Fractional Exponential Function and Fractional Logarithmic Function

Authors/Creators

  • 1. Associate Professor School of Mathematics and Statistics Zhaoqing University, Guangdong, China

Description

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

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Notes

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

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References

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