关键词: 分数阶微分方程, 待定系数法, 常系数, 方程组

Abstract:

The authors investigated the solution matrix of the systems of the linear fractional differential equations with constant coefficients, and obtained some exact solutions of the systems of linear equations using Jordan canonical matrix. We can solve the systems of linear fractional differential equations with constant coefficients using the method of undetermined coefficients, and the results contain the solution of linear firstorder differential equations with constant coefficients.

Key words: fractional differential equations, undetermined coefficients method, invariable coefficient, systems