@article{Wang2022, 
author = {Shuo Wang and Juan Liu and Xindong Zhang},
title = {Properties of solutions for fractional-order linear system with differential equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {15704-15713},
keywords = {linear system, Caputo-Fabrizio derivative, analytical solution, fractional differential, fractional integral},
url = {https://www.sciopen.com/article/10.3934/math.2022860},
doi = {10.3934/math.2022860},
abstract = {In this paper, we study the analytical solutions of two-dimensional fractional-order linear system              D              t              α        X  (  t  )  =  A  X  (  t  ) described by fractional differential equations, where        D   is the fractional derivative in the Caputo-Fabrizio sense and    A  =  (      a          i      j            )          2      ×      2       is nonsingular coefficient matrix with        a          i      j        ∈      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.}
}