Method of Fractional Variation of Parameter and Its Applications

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 DOI: https://doi.org/10.5281/zenodo.7255065 Paper Download Link (Source) https://www.researchpublish.com/papers/method-of-fractional-variation-of-parameter-and-its-applicationsInternational Journal of Mathematics and Physical Sciences Research, ISSN 2348-5736 (Online), Research Publish Journals, Website: www.researchpublish.co