Abstract: This paper studies the fractional differential problems of two types of fractional analytic functions based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative. Any order fractional derivatives of these two types of fractional analytic functions can be obtained by using fractional Euler’s formula, fractional DeMoivre’s formula, and fractional Fourier series method. A new multiplication of fractional analytic functions plays an important role in this paper. In fact, our results are generalizations of the results of classical calculus. On the other hand, two examples are provided to illustrate our results.
Keywords: fractional differential problems, fractional analytic functions, Jumarie’s modified R-L fractional derivative, fractional Euler’s formula, fractional DeMoivre’s formula, fractional Fourier series, new multiplication.
Title: A Study of Some Fractional Differential Problems
Author: Chii-Huei Yu
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 10, Issue 1, April 2022 - September 2022
Page No: 52-58
Research Publish Journals
Website: www.researchpublish.com
Published Date: 09-September-2022
