期刊论文详细信息
AIMS Mathematics | |
Properties of solutions for fractional-order linear system with differential equations | |
article | |
Shuo Wang1  Juan Liu2  Xindong Zhang1  | |
[1] School of Mathematical Sciences, Xinjiang Normal University;College of Big Data Statistics, Guizhou University of Finance and Economics | |
关键词: linear system; Caputo-Fabrizio derivative; analytical solution; fractional differential; fractional integral; | |
DOI : 10.3934/math.2022860 | |
学科分类:地球科学(综合) | |
来源: AIMS Press | |
【 摘 要 】
In this paper, we study the analytical solutions of two-dimensional fractional-order linear system $ \mathcal{D}^{\alpha}_{t}X(t) = AX(t) $ described by fractional differential equations, where $ \mathcal{D} $ is the fractional derivative in the Caputo-Fabrizio sense and $ A = (a_{ij})_{2\times2} $ is nonsingular coefficient matrix with $ a_{ij}\in\mathbb{R} $. The analytical solutions of fractional-order linear system will be compared to the solution of classical linear system. Examples are provided to characterize the behavior of the solutions for fractional-order linear system.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202302200002087ZK.pdf | 594KB | download |