Abstract The paper deals with the initial value problem for linear systems of FDEs with variable coefficients involving Riemann–Liouville derivatives. The technique of the generalized Peano–Baker series is used to obtain the state-transition matrix. Explicit solutions are derived both in the homogeneous and inhomogeneous case. The theoretical results are supported by an example.

中文翻译：

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变系数线性分数阶系统的解

摘要 本文讨论了涉及黎曼-刘维尔导数的变系数 FDE 线性系统的初值问题。使用广义 Peano-Baker 级数的技术来获得状态转移矩阵。在齐次和非齐次情况下都可以导出显式解。理论结果有实例支持。