Analysis of a System for Linear Fractional Differential Equations

[摘要] The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equationsDt0qX(t)=PX(t),X(a)=Band the constant coefficient nonhomogeneous linear fractional differential equationsDt0qX(t)=PX(t)+D,X(a)=BifPis a diagonal matrix andX(t)∈C1-q[t0,T]×C1-q[t0,T]×⋯×C1-q[t0,T]and prove the existence and uniqueness of these two kinds of equations for anyP∈L(Rm)andX(t)∈C1-q[t0,T]×C1-q[t0,T]×⋯×C1-q[t0,T]. Then we give two examples to demonstrate the main results.

[学科分类] 应用数学