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

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 Paper Download Link (Source) https://www.researchpublish.com/papers/application-of-fractional-laplace-transform-method-in-solving-linear-systems-of-fractional-differential-equationsInternational Journal of Interdisciplinary Research and Innovations, ISSN 2348-1218 (print), ISSN 2348-1226 (online), Research Publish Journals, Website: www.researchpublish.co