Abstract: In this paper, we find the fractional Fourier series expansion of two type of fractional trigonometric functions based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus. A new multiplication of fractional analytic functions plays an important role in this paper. The main methods we used are fractional Euler’s formula and the fractional power series expansion of complex fractional analytic function. On the other hand, two examples are provided to illustrate our results.
Keywords: fractional Fourier series expansion, fractional trigonometric functions, Jumarie’s modified R-L fractional calculus, new multiplication, fractional Euler’s formula, complex fractional analytic function.
Title: Fractional Fourier series Expansion of Two Types of Fractional Trigonometric Functions
Author: Chii-Huei Yu
International Journal of Electrical and Electronics Research
ISSN 2348-6988 (online)
Vol. 10, Issue 3, July 2022 - September 2022
Page No: 4-9
Research Publish Journals
Website: www.researchpublish.com
Published Date: 02-September-2022
