摘要
用Jordan标准型方法研究常系数齐次分数阶微分方程组的基本解矩阵,得到了方程组的基本解系.结果表明,可以用待定系数法解常系数齐次分数阶微分方程组,并且该结果蕴含常系数线性一阶微分方程组.
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.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2012年第3期377-380,共4页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10771085)
关键词
分数阶微分方程
待定系数法
常系数
方程组
fractional differential equations
undetermined coefficients method
invariable coefficient
systems
