Research on First Order Linear Fractional Differential Equations

Chii-Huei Yu

Abstract: In this paper, we use product rule of fractional functions, integrating factor, and constant variation method to obtain the general solution of first order linear fractional differential equation (LFDE), regarding Jumarie’s modified Riemann-Liouville (R-L) fractional derivative. Moreover, an example is proposed for demonstrating the advantage of our result.

Keywords:  product rule, integrating factor, constant variation method, first order LFDE, Jumarie’s modified R-L fractional derivative.

Title: Research on First Order Linear Fractional Differential Equations

Author: Chii-Huei Yu

International Journal of Engineering Research and Reviews

ISSN 2348-697X (Online)

Research Publish Journals

Vol 8, Issue 4, October 2020-December 2020

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Research on First Order Linear Fractional Differential Equations by Chii-Huei Yu