Linear Systems of Fractional Differential Equations

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative, the linear systems of fractional differential equations is studied. We provide some examples to illustrate how to solve linear systems of fractional differential equations according to the characteristic polynomials. This problem is discussed in three cases: all eigenvalues are real and different, having the same real eigenvalues, and having complex eigenvalues. A new multiplication of fractional analytic functions plays an important role in this paper. In fact, the new multiplication is a generalization of the multiplication of traditional analytic functions. Keywords: Jumarie’s modified R-L fractional derivative, Linear systems of fractional differential equations, Characteristic polynomials, Eigenvalues, New multiplication, Fractional analytic functions. Title: Linear Systems of Fractional Differential Equations Author: Chii-Huei Yu International Journal of Novel Research in Interdisciplinary Studies ISSN 2394-9716 Vol. 9, Issue 5, September 2022 - October 2022 Page No: 1-6 Novelty Journals Website: www.noveltyjournals.com Published Date: 03-October-2022 DOI: https://doi.org/10.5281/zenodo.7140386 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/Linear%20Systems%20of%20Fractional-03102022-7.pdfInternational Journal of Novel Research in Interdisciplinary Studies, ISSN 2394-9716, Novelty Journals, Website: www.noveltyjournals.co