Abstract: In this paper, we obtain the formula of arbitrary order fractional derivative of some type of fractional trigonometric function by using the fractional Fourier series theory. Jumarie type of Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions play important roles in this article. In fact, our result is a generalization of the result in classical calculus.
Keywords: Fractional derivative, fractional trigonometric function, fractional Fourier series, Jumarie type of R-L fractional derivative, new multiplication, fractional analytic functions.
Title: A Study on the Fractional Differential Problem of Some Type of Fractional Trigonometric Function
Author: Chii-Huei Yu
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
Vol. 12, Issue 4, October 2024 - December 2024
Page No: 21-25
Research Publish Journals
Website: www.researchpublish.com
Published Date: 18-October-2024
