Abstract: Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper provides several examples to illustrate how to use fractional Laplace transform to find the solution of linear system of fractional differential equations. A new multiplication of fractional analytic functions plays an important role in this article. In fact, our results are generalizations of those results in ordinary differential equations.
Keywords: Jumarie type of R-L fractional calculus, fractional Laplace transform, linear system of fractional differential equations, new multiplication, fractional analytic functions.
Title: Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations
Author: Chii-Huei Yu
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
Vol. 10, Issue 4, October 2022 - December 2022
Page No: 28-34
Research Publish Journals
Website: www.researchpublish.com
Published Date: 02-November-2022