Exact Solution of Linear System of Fractional Differential Equations with Constant Coefficients

Chii-Huei Yu

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative, the exact solution of linear system of fractional differential equations with constant coefficients is obtained. A new multiplication of fractional analytic functions plays an important role in this paper. In addition, we also provide some examples to illustrate the application of our results. In fact, our results are generalizations of these results in ordinary differential equations.

Keywords: Jumarie type of R-L fractional derivative, exact solution, linear system of fractional differential equations with constant coefficients, new multiplication, fractional analytic functions.

Title: Exact Solution of Linear System of Fractional Differential Equations with Constant Coefficients

Author: Chii-Huei Yu

International Journal of Mechanical and Industrial Technology      

ISSN 2348-7593 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 1-7

Research Publish Journals

Website: www.researchpublish.com

Published Date: 02-December-2022

DOI: https://doi.org/10.5281/zenodo.7391108

Vol. 10, Issue 2, October 2022 - March 2023

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Exact Solution of Linear System of Fractional Differential Equations with Constant Coefficients by Chii-Huei Yu