Abstract: Based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, this paper studies the method of fractional variation of parameter. The product rule for fractional derivatives and a new multiplication of fractional analytic functions play important roles in this article. In addition, two examples are provided to illustrate how to use the method of fractional variation of parameter to find the particular solution of fractional differential equations. In fact, our results are generalizations of these results in ordinary differential equations.
Keywords: Jumarie’s modified R-L fractional calculus, Method of fractional variation of parameter, Product rule, New multiplication, Fractional analytic functions, Particular solution, Fractional differential equations.
Title: Method of Fractional Variation of Parameter and Its Applications
Author: Chii-Huei Yu
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 10, Issue 2, October 2022 - March 2023
Page No: 33-39
Research Publish Journals
Website: www.researchpublish.com
Published Date: 26-October-2022
