A Study on the Fractional Differential Problem of Some Type of Fractional Trigonometric Function

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 DOI: https://doi.org/10.5281/zenodo.13949406 Paper Download Link (Source) https://www.researchpublish.com/papers/a-study-on-the-fractional-differential-problem-of-some-type-of-fractional-trigonometric-function