On the construction and stability analysis of the solution of linear fractional differential equation
作者：
Highlights：
• We describe a simple and powerful relation between Mittag-Leffler functions with different parameters.
• Moreover, we reach the result that even though the characteristic equation has roots of positive real part the solution of linear differential equation could be stable.
• The stability analysis of the solution is given based on the coefficients and initial conditions of linear fractional differential equations of various orders.
摘要
•We describe a simple and powerful relation between Mittag-Leffler functions with different parameters.•Moreover, we reach the result that even though the characteristic equation has roots of positive real part the solution of linear differential equation could be stable.•The stability analysis of the solution is given based on the coefficients and initial conditions of linear fractional differential equations of various orders.
论文关键词：34A08,33E12,34D20,Fractional differential equation,Mittag-Leffler function,Exponentially stability
论文评审过程：Received 18 November 2019, Revised 2 May 2020, Accepted 31 May 2020, Available online 6 July 2020, Version of Record 6 July 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125425
