The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations and the constant coefficient nonhomogeneous linear fractional differential equations if is a diagonal matrix and and prove the existence and uniqueness of these two kinds of equations for any and . Then we give two examples to demonstrate the main results.
Fang Wang. Zhen-hai Liu. Ping Wang. "Analysis of a System for Linear Fractional Differential Equations." J. Appl. Math. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/193061