Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we study the fractional differential problem of two types of fractional trigonometric functions. Using chain rule for fractional derivatives and a new multiplication of fractional analytic functions, we can obtain the fractional derivatives of any order of these two types of fractional trigonometric functions. On the other hand, we provide some examples to illustrate our methods. In fact, our results are generalizations of those results in classical calculus.
Keywords: Jumarie’s modified R-L fractional calculus, fractional trigonometric functions, chain rule for fractional derivatives, new multiplication, fractional analytic functions.
Title: Fractional Differential Problem of Some Fractional Trigonometric Functions
Author: Chii-Huei Yu
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
Vol. 10, Issue 4, October 2022 - December 2022
Page No: 48-53
Research Publish Journals
Website: www.researchpublish.com
Published Date: 19-December-2022
