Abstract: In this paper, we use fractional Fourier series to solve three types of fractional integrals based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus. Fractional Euler’s formula, fractional DeMoivre’s formula and a new multiplication of fractional analytic functions play important roles in this paper. In fact, our results are generalization of the traditional calculus results. On the other hand, three examples are given to illustrate our results.
Keywords: fractional Fourier series, fractional integrals, fractional Euler’s formula, fractional DeMoivre’s formula, new multiplication, fractional analytic functions.
Title: Application of Fractional Fourier series in Evaluating Fractional Integrals
Author: Chii-Huei Yu
International Journal of Computer Science and Information Technology Research
ISSN 2348-1196 (print), ISSN 2348-120X (online)
Vol. 10, Issue 3, July 2022 - September 2022
Page No: 38-44
Research Publish Journals
Website: www.researchpublish.com
Published Date: 05-September-2022
