Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations

Chii-Huei Yu

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

DOI: https://doi.org/10.5281/zenodo.7274410

Vol. 10, Issue 4, October 2022 - December 2022

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Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations by Chii-Huei Yu